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OG2016 In the figure above, what is the ratio

This topic has 1 expert reply and 1 member reply
boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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OG2016 In the figure above, what is the ratio

Post Sun May 01, 2016 9:36 am
ttp://postimg.org/image/6lm4215up/" target="_blank">

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

OA: D

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OptimusPrep Master | Next Rank: 500 Posts
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Post Mon May 02, 2016 7:23 pm
boomgoesthegmat wrote:
ttp://postimg.org/image/6lm4215up/" target="_blank">

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

OA: D
From the figure, we know that it is a right angle triangle.
Hence, y + (y + 10) + 90 = 180
Or, 2y = 80, y = 40

angle B = 40 and angle A = 40
Ratio of angle B to angle A = 4:5

Correct option: D

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Post Sun May 01, 2016 1:30 pm
boomgoesthegmat wrote:
ttp://postimg.org/image/6lm4215up/" target="_blank">

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

OA: D
We know that 3 angles in a triangle add to 180 degrees.
So, we get: y + (y + 10) + 90 = 180
Simplify: 2y + 100 = 180
So: 2y = 80
y = 40

So, angle B = 40, and angle A = 50
So, the ratio of the measure of angle B to the measure of angle A = 40 to 50
To simplify this ratio, divide both sides by 10 to get: 4 to 5

Answer: D

Related Resources
The following videos cover the concepts/strategies that are useful for answering this question:
- Intro to ratios: https://www.gmatprepnow.com/module/gmat-arithmetic/video/1081
- Triangles - Part I: https://www.gmatprepnow.com/module/gmat-geometry/video/860

Cheers,
Brent

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