2 answers:
Answer:
m<Q = 92 degrees
Step-by-step explanation:
Opposite angles of a quadrilateral inscribed in a circle are supplementary.
Angles O and Q are opposite angles, so they are supplementary, so their measures add up to 180 degrees.
m<O + m<Q = 180
2x + 2x + 4 = 180
4x + 4 = 180
4x = 176
x = 44
m<Q = 2x + 4 = 2(44) + 4 = 92
Answer:
Q =92
Step-by-step explanation:
Since the quadrilateral is inscribed in a circle, the opposite angles add to 180 degrees.
<O + <Q = 180
2x+ 2x+4 = 180
4x+4 =180
Subtract 4 from each side
4x= 180-4
4x= 176
Divide by 4
x = 44
Q = 2x+4
Q = 2(44)+4
Q = 88+4
Q = 92
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