Question

if one angle in a parallelogram is a right angle, how can we say that all the other angles are right angles? Draw and label and explain it giving appropriate reasons

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Answer 1

Answer:∠A = 90° (given)-------------eq(1)∠A=∠C ( opposite angle of parallelogram are equal)

∠C=90 (∠A is 90°). ---------eq(2)

∠A+∠D=180 (sum of co-interior angles is 180°)

90+∠D=180

∠D=180-90

∠D=90°-----------------eq(3)

∠D=∠B(opposite angles of a parallelogram are equal)

∠B=90°-------------eq(4)

so, from equation (1),(2),(3)and (4) it is proved that if one angle of parallelogram is right angle then its all angles are 90°

(if all angles of a parallelogram are right angle then the parallelogram is a RECTANGLE)

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