Question

In ∆ , PQ = PR and ∠Q = 700, find ∠P.

Answer 1

Answer:

in triangle PQR,

↬P=PR. Therefore PQR is an isosceles triangle.

↬therefore, angle Q= angle R(because angles opposite ↬to equal sides of an isosceles triangle are equal)

↬angle P +angle Q + angle R= 180°(angle sum property)

↬2*angle Q + angle P = 180°(angle Q= angle R)

↬2*angle Q=180°-70°

↬angle Q= 110°/2

↬angle Q=55°=angle