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What is the measure of ∠B?

What Is The Measure Of B class=

Sagot :

Answer:

∠B=19°

Step-by-step explanation:

At the endpoints of a diameter, angle c meets the circle. It intercepts a 180-degree arc.We know that the measure of C is 90 degrees because the measure of an inscribed angle is half the measure of its intercepted arc. Angles of triangle of ABC must add up to 180.

m∠A+m∠B+m∠C= 180°

71°+m∠B+90°=180°

m∠B+161°=180°

m∠B=19°