Question

prove that angles in a semicircle is a right angle

Answer 1

Answer:

∠abc is half of arc axc.........*Inscribed angle theorem

therefore ∠abc is half of arc axc which is

180°-90°=90°   (arc axc is equal to 180° because it is a semicircle and measure of semicircle is always 180°)

*inscribed angle theorem- The measure of an inscribed angle is half of the measure of the arc intercepted.