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

Question

https://gmatclub.com/forum/download/file.php?id=41798 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 PS07408_f001.png

GMATinsight · Answer

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

y = 40

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

Answer : Option D

Answer: Option D

Video solution by  GMATinsight

https://www.youtube.com/watch?v=I2zF8qdmhKc

gk3391 · Answer

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

MathRevolution · Answer

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).

800orDie · Answer

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.

TheUltimateWinner · Answer

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.

sasyaharry · Answer

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

Abhishek009 · Answer

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)

ScottTargetTestPrep · Answer

We can create the equation:

y + y + 10 + 90 = 180

2y = 80

y = 40

Thus:

40/(40 + 10) = 4/5

Answer: D

LMP · Answer

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.

avigutman · Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=-TfNZ50iRNs

Jitesh8 · Answer

Very easy question to begin with.

sum of all the internal angles of triangle will always be equal to 180 degree
one angle is 90degree

so remaining 2 angles will sum up to 90degrees
y+(y+10)=90
2y=80
y=40

Ratio will be 40:50
4:5

bumpbot · Answer

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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

Prep Toolkit

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