Question

what is the supplementary angle of the central angle of a semicircle
CORRECT ANSWER WITH STEPS WILL GET BRAINLIEST

Answer 1

The largest chord of any circle is its diameter, say AB.

Angle subtended by a chord at centre is twice the angle subtended by that chord at any point on the circumference.

Angle subtended by AB at centre O is 180

∘

.

It follows that APB is 90°.

So it follows that the angle in a semicircle is always a right angle.

Answer 2

Step-by-step explanation:

an angle is inscribed in a semicircle, it will be half the measure of a semicircle (180 degrees), therefore measuring 90 degrees.