NEED ANSWERED ASAPPPP!!!!

Mathematics

1 answer:

Juli2301 [7.4K]4 years ago

8 0

Option A:

m∠B = 28°

Solution:

Given ABC is a triangle on the circle.

m∠A = 62°

The angle subtended by a diameter or a semicircle on any point of circle is 90°.

AB is a diameter and C is the angle subtended on a diameter.

Therefore, m∠C = 90°.

Triangle sum property:

Sum of the angles of the triangle = 180°

m∠A + m∠B + m∠C = 180°

62° + m∠B + 90° = 180°

m∠B + 152° = 180°

m∠B = 180° – 152°

m∠B = 28°

The measure of angle B is 28°.

Hence Option A is the correct answer.

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