34.8k views
3 votes
The measure of XYZ is 296 what is the measure of XZW the tangent chord angle

The measure of XYZ is 296 what is the measure of XZW the tangent chord angle-example-1
User Maoizm
by
4.6k points

2 Answers

5 votes

Answer: D: 148 is correct

Step-by-step explanation: apx :)

User Hhs
by
5.3k points
3 votes

Answer:

D. 148°

Explanation:

Theorem: The measure of the angle formed by a tangent and a chord is equal to one-half the measure of the intercepted arc.

In your diagram, XZ is the chord, WZ is the tangent, and XYZ is the intercepted arc.

Per the theorem,

mXZW = ½ mXYZ = ½ × 296° = 148°

The measure of the tangent chord angle is 148°.

User Lazer
by
5.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.