Example 1 Use Inscribed Angles to Find Measures
b. mPO
Find each measure.
ዘረP
m2P = MN
= {(70) or 35
mPO-2m2N
= 2(56) or 112
Guided Practice
1A. mCF
13. mZC
Two inscribed angles that intercept the same arc of a circle are related.
Theorem 10.7

72 is the answer to this problem

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.