The second angle of a triangle is twice the measure of the first angle. The third angle is 12° more than the measure of the first angle. Find the three angles.

llm

Answered on Mon Oct 31 2022

Let the first angle be x

Then, 2nd angle is 2x

And, 3rd angle is x + 12.

We know, sum of all angles of triangle is 180°.

So,

x + 2x + x + 12 = 180°

4x = 180° - 12°

4x = 168°

x = 168/4

x = 42°

So, first angle = 42°

2nd angle = 2(42°)

= 84°

3rd angle = 42° + 12°

= 54°