Question

In the given figure, ZAOB = ZPOQ = 90°, OB = OQ and AB = PQ. Prove that (0) (ii) ΔΑΟΒ Ξ ΔΡΟΟ 21 = 22. 8​

Answer 1

Step-by-step explanation:

i) Part of the question will be solved by Congruence property of RHS( right hypotenuse side)

angle AOB= angle POQ (given)

AB=PQ (given)

OB=OQ (given)

️AOB is Congruent to ️POQ

ii) By CPCT

angle ABO = angle PQO

angle B = angle Q = 180° (angle on a straight line)

angle 1 = 180° - angle ABO

angle 2 = 180° - angle POQ

as angle POQ = angle ABO

angle 2 = 180° - angle ABO

Hence angle 1 = angle 2