Quadrilateral ABCD is inscribed. The measure of ZA = 67º. What is the measure of ZC?
1 answer:
Answer:
m<C = 113°
Step-by-step explanation:
m<A = 67° (given)
Recall: opposite angles in any inscribed quadrilateral in a circle are equal to 180° or are supplements of one another.
This implies that:
m<A + m<C = 180°
Substitute
67° + m<C = 180°
Subtract 67° from each side
m<C = 180° - 67°
m<C = 113°
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