The sum of two angles is 83 ?° ?? . Angle 2 is 137 ?° ?? smaller than 4 times angle 1.

Question

Its a world problem. Dont understand how to do it.

Answer 1

x = angle one

4x - 137 = angle two

 

x + 4x - 137 = 83

5x = 220

x = 44

 

The first angles is 44° and and the second is 39°.

Answer 2

The sum of two angles is 83^o: Angle 1 + Angle 2 = 83^o

 

Angle 2 is 137° smaller than 4 times angle 1: Angle 2 = 4*(Angle 1) - 137^o

 

Substitute the second equation onto the first and solve for Angle 1:

 

Angle 1 + Angle 2 = 83^o

Angle 1 + 4*(Angle 1) - 137^o = 83^o

5*(Angle 1) = 220^o

 

Angle 1 = 44^o

 

Angle 2 = 83^o - Angle 1