Respuesta :
Answer:
The measure of AC is 180°
Step-by-step explanation:
Given: [tex]\angle ABC=90^\circ[/tex]
ABC is a right angle triangle at ∠B= 90°
We can say ΔABC inscribed in semi-circle whose diameter is AC.
We need to measure the angle AOC
The angle is subtended by an arc at the center of a circle is double the angle subtended at any point on the circumference at same arc.
Therefore, ∠AOC=2 ∠ABC
∠AOC = 2 x 90
∠AOC = 180°
Hence, The measure of AC is 180°