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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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New post 14 Oct 2015, 21:37
3
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A
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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

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PS07408_f001.png [ 1.73 KiB | Viewed 1433 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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New post 14 Oct 2015, 21:59
Bunuel wrote:
Image
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

Answer : Option 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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New post 14 Oct 2015, 22:25
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Bunuel wrote:
Image
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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New post 15 Oct 2015, 00:19
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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Re: In the figure above, what is the ratio of the measure of angle B to  [#permalink]

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New post 15 Oct 2015, 19:26
2
Bunuel wrote:
Image
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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Re: In the figure above, what is the ratio of the measure of angle B to  [#permalink]

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New post 17 Nov 2016, 09:29
1
Bunuel wrote:
Image
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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New post 03 Jul 2017, 10:13
We can also say that y+y+10 = 90 (sum of opposite interior angles = exterior angle)
y=40

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

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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New post 30 Aug 2018, 07:35
\(y + ( y + 10 ) + 90 = 180\)

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, 07:35
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