Question

pQRS is a rohombus. If anigle PQS=50degree find the angles of the rohombus

Answer 1

angle r =50°

angle p= angle s= 180°-50°=130°

Answer 2

Given: PQRS is a rhombus

PQS= 50*

to find  - angle P,Q,R,S

i.e. PQS=PSQ(adjacent sides of a rhombus are equal)

in triangle PSQ

PSQ+PSQ+P=180*

2PSQ+P=180*

100+P=180*

P=80*

also ,P=R=80*

angle P+Q=180*(when two lines are parallel and cut by a transversal then  angles formed are supplementary)

so angle Q= 180- P

             Q=180-80=100*

 also     Q=S=100*

So , Angle P and R= 80*

and    Q and S = 100*