Question

In ΔPQR, ∠P = 3∠R and ∠Q = 5∠R. Find the measure of three angles

Answer 1

ΔPQR

∠P+∠Q+∠R=180°

3∠R+5∠R+∠R=180°

9∠R=180°

∠R=180°/9

∠R=20°

Now, the measures of the left out angles are

∠P=3∠R

=3×20

=60°

∠Q = 5∠R

=5×20

=100°

Hope this helps you.