Question

Angle CCC is inscribed in circle OOO.
\overline{AB}
AB
start overline, A, B, end overline is a diameter of circle OOO.
What is the measure of \angle B∠Bangle, B?
^\circ
∘
degrees

Answer 1

Answer:Angle B is 44 Degrees

Step-by-step explanation: Angle C intersects the circle at the endpoints of a diameter, it intercepts an arc of 180 degrees

The measure of an inscribed angle is half the measure of its intercepted arc, so we know that the measure of angle C is 90 degrees

The angles of triangle ABC must add up to 180 degrees

m∠A+m∠B+m∠C=180

46+m∠B+90=180

m∠B+136=180

m∠B=44

Answer 2

The measure of Angle B in the given diagram is 44 Degrees

Angle C intersects the circle at the endpoints of a diameter, it intercepts an arc of 180 degrees

The measure of an inscribed angle is half the measure of its intercepted arc, so we know that the measure of angle C is 90 degrees

What is the sum of the angles in a triangle?

The angles of triangle ABC must add up to 180 degrees.

The total sum of the angle in triangles is180 degrees.

m∠A+m∠B+m∠C=180

46+m∠B+90=180

m∠B+136=180

m∠B=44

Therefore, The measure of Angle B in the given diagram is 44 Degrees.

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