prove-that-an-angle-inscribe-in-a-semi-circle-is-a-right-angle-Help-

Question Number 184655 by Mastermind last updated on 10/Jan/23

prove that an angle inscribe in a

semi - circle is a right angle .

Help!

Answered by HeferH last updated on 10/Jan/23

Commented by HeferH last updated on 10/Jan/23

\overset{⌢}{A B} = 180 °

∠ A C B = \frac{\overset{⌢}{A B}}{2} = 90 ° (i n s c r i b e d a n g l e t h e o r e m)

Commented by HeferH last updated on 10/Jan/23

Commented by HeferH last updated on 10/Jan/23

2 α + 2 θ + (180 ° - 2 θ - β) = 180 °

β = 2 α

Commented by Mastermind last updated on 10/Jan/23

What is this one again ?

Commented by Mastermind last updated on 10/Jan/23

Thank you BOSS

Commented by HeferH last updated on 10/Jan/23

P r o o f o f t h e I n s c r i b e d a n g l e t h e o r e m :)

Commented by Mastermind last updated on 10/Jan/23

Thank you BOSS but i think the

first one is the corrct solution