Answer:
m∠A = 105°
m∠B = 40°
m∠C = 35°
Step-by-step explanation:
Given:
20) A circle with with a triangle inscribed
To find:
m∠A, m∠B and m∠C
To determine the above angles, we will apply the theorem:
inscribed angle = 1/2 (intercepted arc)
a) for m∠A:
inscribed angle = m∠A
intercepted arc = 210°
m∠A = 1/2(210)
m∠A = 105°
b) for m∠B:
inscribed angle = m∠B
intercepted arc = 80°
m∠B = 1/2(80)
m∠B = 40°
c) for m∠C:
inscribed angle = m∠C
intercepted arc = 70°
m∠C = 1/2(70)
m∠C = 35°