passpadi

2001

Mathematics

67ca00ce0c643c71d77dee1f

In the figure PQR a straight line segment, PQ = QT. Triangle PQT is an isosceles triangle, < SRQ is 75° and < QPT IS 25°. Calculate the value of < RST

A.

50°

B.

25°

C.

55°

D.

45°

Correct Answer: 55°

Explanation

< T = x/1 = 25° (PQ = QT) < SQR = 2(25°) = 50° (sum of interior angle) < Q + < R + < S = 180° 50° + 75° + < S = 180° = 125o + < S = 180° < S = 180° - 125° = 55°

< T = x/1 = 25° (PQ = QT) < SQR = 2(25°) = 50° (sum of interior angle) < Q + < R + < S = 180° 50° + 75° + < S = 180° = 125o + < S = 180° < S = 180° - 125° = 55°
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