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3 years ago

In the figure below mPUR =77 and mST=74 Find mPR

Mathematics

1 answer:

eduard3 years ago

8 0

Answer:

The angle formed by intersecting chords is half of the sum of the intercepted arcs:

1/2(mST + mPR) = m∠PUR
1.2(74° + mPR) = 77°
74° + mPR = 2*77°
mPR = 154° - 74°
mPR = 80°

The angle formed by two tangents is the half of the difference of the intercepted arcs:

m∠PSR = 1/2(mPTR - mPR)
m∠PSR = 1/2(247° - (360° - 247°))
m∠PSR = 247° - 180°
m∠PSR = 67°

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