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

50^o

25^o

55^o

45^o

Correct answer is C

< T = \(\frac{x}{1}\) = 25^o (PQ = QT)

< SQR = 2(25^o) = 50^o (sum of interior angle)

< Q + < R + < S = 180^o

50^o + 75^o + < S = 180^o = 125^o + < S = 180^o

< S = 180^o - 125^o = 55^o

See all Mathematics questions & answers

See more JAMB questions & answers

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

Aptitude Tests

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