A triangle has an angle that measures 80°. The other two angles are in a ratio of 7:13. What are the measures of those two angles?

llm

Answered on Tue May 24 2022

Given :

Let A = 80°

And, Let B : C = 7:13

Let the common factor of ratio be x

Then, B :C = 7x : 13x

We know, sum of angles of triangles is 180°

So, 80° + 7x + 13x = 180°

20x = 180° - 80°

20x = 100

x = 100°/20

x = 5°

So, Angle B = 7 × 5° = 35°

And, Angle C = 13 × 5° = 65°