Question

In a triangle Labled PQR, R is 35 degrees less than P and P is 16 degrees greater than Q. What are the measures of the angles? Labled diagram is needed.

Answer 1

55

Explanation:

in triangle PQR,

PQ=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 R