In the given figure, three angles X, Y, and Z are formed at the centre O of the circle. If the angles X, Y, and Z are in the ratio 1:3:5 respectively, then find the value of Y.a)20b)40c)80d)120e)160Correct answer is option 'D'. Can you explain this answer?

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In the given figure, three angles X, Y, and Z are formed at the centre O of the circle. If the angles X, Y, and Z are in the ratio 1:3:5 respectively, then find the value of Y.

a)
20°
b)
40°
c)
80°
d)
120°
e)
160°

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

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Verified Answer

In the given figure, three angles X, Y, and Z are formed at the centre...

Step 1: Question statement and Inferences

We are given a circle with centre O. Three lines originate from the point O and form three angles X, Y, and Z at the centre.

These angles are in the ratio 1:3:5 i.e.

⇒ X : Y : Z = 1 : 3 : 5

We have to find the value of Y.

Step 2: Finding required values

Let’s say:

X = p

This means,

Y = 3p

Z = 5p

Now, we know that the sum of all the angles formed around a point is 360^o. So,

X + Y + Z = 360^o

p + 3p + 5p = 360^o

p = 40^o

Step 3: Calculating the final answer

So, the measure of the angle Y is 3p = 3*40^o =120^o

Answer: Option (D)

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In the given figure, three angles X, Y, and Z are formed at the centre O of the circle. If the angles X, Y, and Z are in the ratio 1:3:5 respectively, then find the value of Y.a)20°b)40°c)80°d)120°e)160°Correct answer is option 'D'. Can you explain this answer?

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In the given figure, three angles X, Y, and Z are formed at the centre O of the circle. If the angles X, Y, and Z are in the ratio 1:3:5 respectively, then find the value of Y.a)20°b)40°c)80°d)120°e)160°Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about In the given figure, three angles X, Y, and Z are formed at the centre O of the circle. If the angles X, Y, and Z are in the ratio 1:3:5 respectively, then find the value of Y.a)20°b)40°c)80°d)120°e)160°Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the given figure, three angles X, Y, and Z are formed at the centre O of the circle. If the angles X, Y, and Z are in the ratio 1:3:5 respectively, then find the value of Y.a)20°b)40°c)80°d)120°e)160°Correct answer is option 'D'. Can you explain this answer?.

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