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Math Expert V
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In the figure above, what is the ratio of the measure of angle B to  [#permalink]

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9 00:00

Difficulty:   5% (low)

Question Stats: 95% (00:49) correct 5% (01:23) wrong based on 1522 sessions

### HideShow timer Statistics In the figure above, what is the ratio of the measure of angle B to the measure of angle A?

(A) 2 to 3
(B) 3 to 4
(C) 3 to 5
(D) 4 to 5
(E) 5 to 6

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Attachment: PS07408_f001.png [ 1.73 KiB | Viewed 10201 times ]

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Re: In the figure above, what is the ratio of the measure of angle B to  [#permalink]

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Bunuel wrote: In the figure above, what is the ratio of the measure of angle B to the measure of angle A?

(A) 2 to 3
(B) 3 to 4
(C) 3 to 5
(D) 4 to 5
(E) 5 to 6

Kudos for a correct solution.

Attachment:
2015-10-15_0835.png

y + (y+10) = 180-9- = 90

y = 40

B / A = Y/(Y+10) = 40/50 = 4/5

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Re: In the figure above, what is the ratio of the measure of angle B to  [#permalink]

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Bunuel wrote: In the figure above, what is the ratio of the measure of angle B to the measure of angle A?

(A) 2 to 3
(B) 3 to 4
(C) 3 to 5
(D) 4 to 5
(E) 5 to 6

Kudos for a correct solution.

Attachment:
2015-10-15_0835.png

We need to find ratio of y/(y+10). Here y+(y+10)+90=180 (Sum of all sides of triangle equals 180)
Thus we get y=40 and hence ratio is 40/50 or 4/5
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Re: In the figure above, what is the ratio of the measure of angle B to  [#permalink]

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Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.

In the figure above, what is the ratio of the measure of angle B to the measure of angle A?

(A) 2 to 3
(B) 3 to 4
(C) 3 to 5
(D) 4 to 5
(E) 5 to 6

Since the triangle ABC is a right triangle we have y+(y+10)=90°. That means 2*y= 80° ---> y=40°. So the angle A is 50°, angle B is 40°. The ratio B:A= 40:50 = 4:5. The answer is, therefore, (D).
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Re: In the figure above, what is the ratio of the measure of angle B to  [#permalink]

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2
Bunuel wrote: In the figure above, what is the ratio of the measure of angle B to the measure of angle A?

(A) 2 to 3
(B) 3 to 4
(C) 3 to 5
(D) 4 to 5
(E) 5 to 6

Kudos for a correct solution.

Attachment:
2015-10-15_0835.png

Sum of the interior angles of a triangle = 180.

2y + 10 + 90 = 180

y=40

Angle (B) / Angle (A) = y / (y +10) = 40 / 50 = 4 / 5

Choice D.
VP  V
Joined: 23 Feb 2015
Posts: 1462
Re: In the figure above, what is the ratio of the measure of angle B to  [#permalink]

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1
1
Bunuel wrote: In the figure above, what is the ratio of the measure of angle B to the measure of angle A?

(A) 2 to 3
(B) 3 to 4
(C) 3 to 5
(D) 4 to 5
(E) 5 to 6

Kudos for a correct solution.

Attachment:
2015-10-15_0835.png

Here,
y+y+10+90=180
-->2y+100=180
-->2y=80
-->y=40
So, B=40
So, y+10=40+10
-->y+10=50
So, A=50
So, B/A=40/50
-->4/5
-->4:5
So, the correct answer is D.
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Re: In the figure above, what is the ratio of the measure of angle B to  [#permalink]

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We can also say that y+y+10 = 90 (sum of opposite interior angles = exterior angle)
y=40

Hence $$\frac{\angle B}{\angle A} = \frac{40}{50} = \frac{4}{5}$$

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Re: In the figure above, what is the ratio of the measure of angle B to  [#permalink]

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$$y + ( y + 10 ) + 90 = 180$$

Or, $$2y + 10 = 90$$

Or, $$2y = 80$$

So, $$y = 40$$

Thus, the ratio of angle B to A is 40/50 = 4 : 5 , Answer must be (D)
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Re: In the figure above, what is the ratio of the measure of angle B to  [#permalink]

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1
Bunuel wrote: In the figure above, what is the ratio of the measure of angle B to the measure of angle A?

(A) 2 to 3
(B) 3 to 4
(C) 3 to 5
(D) 4 to 5
(E) 5 to 6

Kudos for a correct solution.

Attachment:
PS07408_f001.png

We can create the equation:

y + y + 10 + 90 = 180

2y = 80

y = 40

Thus:

40/(40 + 10) = 4/5

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Re: In the figure above, what is the ratio of the measure of angle B to  [#permalink]

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Bunuel wrote: In the figure above, what is the ratio of the measure of angle B to the measure of angle A?

(A) 2 to 3
(B) 3 to 4
(C) 3 to 5
(D) 4 to 5
(E) 5 to 6

Kudos for a correct solution.

Attachment:
PS07408_f001.png

So I know that in any triangle the sum of the angles is 180.

So if a right angle triangle, has, obviously, an angle that takes away 90 of that

sum of 180, that means that the sum of the other 2 acute angles is going to be 90 and

that they will always complement one another to 90.

So is this is a Y, and this is a Y+10, I know that they complement one another to 90;

Y + (Y +10) = 90.

So 2Y+10=90 2Y=80

Y=40.

So the ratio between this angle and this angle is like 40 to 50, that's a 4 to 5.

The correct as a choice is D.
_________________ Re: In the figure above, what is the ratio of the measure of angle B to   [#permalink] 01 Jul 2019, 12:13
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