Given: ⊙O with AB ≅ AC m∠BOC = 84°.Find the following in degrees.

Question

Consider the following figure.

A circle has center point O. There are 3 points on the circle and 5 interior line segments.

1. Point A is on the right.
2. Point B is on the upper left.
3. Point C is on the lower left.
4. Two segments extend from A: segment A B lies above O, and segment A C lies below O.
5. Two segments extend from O: segment O B and segment O C.
6. Segment B C goes from B down to C.

Given:	Given:    ⊙O with AB ≅ AC m∠BOC = 84°

Find the following in degrees.

(a) mBC

 °

(b) mAB

 °

(c) m∠A

 °

(d) m∠ABC

 °

(e)m∠ABO

Answer 1

Find the following in degrees.

(a) mBC

 ° 84

(b) mAB

 ° 1/2 (360-84) = 138

(c) m∠A

 ° 42

(d) m∠ABC

 ° 69

(e)m∠ABO