Hard Math Class 9 Level 1

In an isosceles triangle the vertex angle is 30° more than each base angle. What is the vertex angle?

समद्विबाहु त्रिभुज में शीर्ष कोण प्रत्येक आधार कोण से 30° अधिक है। शीर्ष कोण कितना होगा?

A 60° / 60° B 70° / 70° C 80° / 80° D 90° / 90°
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Correct Answer

C. 80° / 80°

Explanation

Let each base angle be x and vertex be x + 30. Then 3x + 30 = 180 so x = 50 and vertex is 80°.

आधार कोण x हों तो शीर्ष x + 30 है। 3x + 30 = 180 से x = 50 और शीर्ष 80° है।

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