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

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

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14 Oct 2015, 20:37
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Difficulty:

5% (low)

Question Stats:

94% (00:50) correct 6% (01:29) wrong based on 1263 sessions

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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.

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PS07408_f001.png [ 1.73 KiB | Viewed 3434 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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14 Oct 2015, 20:59
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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Joined: 29 May 2015
Posts: 18
Re: In the figure above, what is the ratio of the measure of angle B to  [#permalink]

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14 Oct 2015, 21:25
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

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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14 Oct 2015, 23:19
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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Joined: 31 Aug 2015
Posts: 16
GMAT 1: 750 Q48 V46
Re: In the figure above, what is the ratio of the measure of angle B to  [#permalink]

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15 Oct 2015, 18:26
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.
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Joined: 23 Feb 2015
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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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17 Nov 2016, 08:29
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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03 Jul 2017, 09:13
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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30 Aug 2018, 06:35
$$y + ( y + 10 ) + 90 = 180$$

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 &nbs [#permalink] 30 Aug 2018, 06:35
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