Question

Prove that the two arms of an angle are perpendicular to the two arms of another angle, then the angles are either equal or supplementary.

Answer 1

Proved, the angles are equal .

•Given angles <a &<b are such that

two arms of an angle are

perpendicular to the two arms of

other angle

•So, <PQR= <TQS=90°

• <b= 90°-<PQT ( <b+<PQT=<PQR

= 90°)

________(1)

• <a= 90°-<PQT ( <a+<PQT=<SQT

= 90°)

________(2)

• From (1) and (2)

• <a = <b

hence proved.

Answer 2

Step-by-step explanation:

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