Maths · Straight line: Various forms of equations of a line, intersection of lines, angles between two lines
PQRS is a isosceles trapezium with if then equals to
PQRS is a isosceles trapezium with \( \boldsymbol{P Q} \| \boldsymbol{R S}, \) if \( \mathrm{P}=\mathbf{6 0}, \) then \( \mathrm{Q} \) equals to
- A. 120
- B. 30
- C. 60 \)
- D. 150
Step-by-step solution
In an isosceles trapezium, base angles adjacent to each base are equal. Given PQ || RS, and ∠P = 60°, then ∠Q = 60° because top base angles are equal. Also, interior angles on the same side are supplementary, so ∠S = 120°, and bottom base angles ∠R = ∠S = 120°, confirming ∠Q = 60°.
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