Question

Use the diagram to complete the statements.

The measure of angle EJB is (equal to, one-half, twice, 180 minus) the measure of angle BOE.

The measure of angle BDE is (equal to, one-half, twice, 180 minus) the measure of angle BOE.

The measure of angle OED is (equal to, one-half, twice, 180 minus) the measure of angle OBD.

Answer 1

1. B. one-half

2. D. 180 minus

3. A. equal to

Answer 2

m < EJB = half of m < OBE.

m < BDE = 180 minus m < BOE.

m < OED = m<OBD.

Explanation:

First part : Because angled subtended by an arc at the circumference = half of angle at the center.

Second: Because The 2 angles OBD and OED = 90 degrees.

Third: DB and DE are both tangents to the circle, and OE and OB are both radii. So m < OED = m<OBD = 90 degrees.