Math, asked by maheshpatil1562, 6 months ago

In an isosceles triangle, if vertex angle is equal to the sum of the base angles then the measure of vertex angle is; *

a. 50°

b. 45°

c. 90°

d. 100°

Answers

Answered by VishaI2006
4

Answer:

90°

This is the answer to this question

Answered by bijoannjo
8

Answer:

The correct answer is option B

45⁰

Since the sum of the interior angles of any triangle adds up to 180⁰ and also the base angles of an isosceles triangle are equal,we may let the base angles be x, then the vertex angle is 2x.

∴x+x+2x=180⁰.

∴ 2x + 2x=180⁰

∴ 4x = 180⁰

∴ x = 180⁰ ÷ 4

∴x=45⁰.

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