If chord XY is congruent to chord YZ. what is the measure of YOZ?
Answer:
Option B. 36°
Step-by-step 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°