Question

The measures of the angles of a triangle are in the extended ratio 11​:​5:4. Find the measures of the angles.

Answer 1

Given that in a △ABC, ∠A:∠B:∠C=11:5:4

Let the angles of the given triangle be 11xo,5xo,4xo.

We know that the sum of the angles of a triangle is 180o

11xo+5xo+4xo=180o⇒20xo=180o

xo=12110o​=15o

So, the angles of the triangle are 70o,60o,45o.