In the figure above, AOD is a straight line. Find the measure ofandang;AOBa)15anddeg;b)30anddeg;c)45anddeg;d)60anddeg;e)75anddeg; Correct answer is option 'D'. Can you explain this answer?

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GMAT Exam > GMAT Questions > In the figure above, AOD is a straight line. ...

In the figure above, AOD is a straight line. Find the measure of ∠AOB

a)
15°
b)
30°
c)
45°
d)
60°
e)
75°

Correct answer is option 'D'. Can you explain this answer?

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Verified Answer

In the figure above, AOD is a straight line. Find the measure of∠A...

Step 1: Question statement and Inferences

We are given a straight line AOD. ∠AOB, ∠BOC and ∠COD

, are the angles formed on the same side of the straight line. Also, the values of the angles are as follows:

∠AOB = 4x

∠BOC = 3x +5

∠COD = 5x -5

Now, we have to find the value of ∠AOB

. For that, first we need to find the value of x.

Step 2: Finding required values

Now, we know that the sum of all the angles formed on a straight line is equal to 180^o.

Thus,

∠AOB + ∠BOC+ ∠COD = 180⁰

4x +3x+5+5x -5 = 180⁰

12x =180⁰

Thus , x =15^o

So,

∠AOB = 4 x 15^o= 60^o

Step 3: Calculating the final answer

So, the measure of the angle AOB is 60 degrees.

Answer: Option (D)

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In the figure above, AOD is a straight line. Find the measure of∠AOBa)15°b)30°c)45°d)60°e)75° Correct answer is option 'D'. Can you explain this answer?

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