Question

find angle pqrst q=110 and s=130​

Answer 1

Given :

Angle PQR= 110°

Construction:

Extend a line PQ till RS.

Let the point be U.

So we got a triangle ∆ QRU.

Solution :

On Line PQU

We have an angle of 110°

Angle PQR + Angle RQU= 180° (because PQU is a straight line).

110° + Angle RQU= 180°

Angle RQU= 180°–110°

Angle RQU = 70°

Angle QUR = 180°-130°= 50° ( because they are alternate angles)

Angle QUR+Angle RQU+ Angle Angle QRU = 180 ° ( because of sum of all angkes of a triangle is 180°)

70°+ 50° + angle QRU= 180°

Angle QRU = 180°-120°= 60°

Angle QRU = 60°