Question

If chord XY is congruent to chord YZ. what is the measure of YOZ?

Answer 1

Answer: 36

Explanation:

Answer 2

Option B. 36°

Explanation:

we have that

XY≅YZ

we know that

OX=OY=OZ=radius of the circle

therefore

Triangle OXY is congruent with triangle OYX

Remember that

If two figures are congruent, then its corresponding sides and corresponding angles are congruent

so

m∠YOZ=m∠XOY

we have

m∠XOY=36°

therefore

m∠YOZ=36°