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Ilya [14]
3 years ago
11

Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x. (Figures are not dr

awn to scale.)

Mathematics
1 answer:
STatiana [176]3 years ago
3 0

Answer:

x = 64.

Step-by-step explanation:

If PQ is a segment on a tangent to the circle at point Q (as per the question), then <OQP is a right angle, so m<OQP=90 degrees. The angles in the triangle OPQ will need to sum up to 180 degrees. We are given m<OPQ=26 degrees. It remains to be determined the angle x = 180 - 90 - 26 = 64.

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