Triangle Angles

Question

In triangle ABC, the measure of angle A is (2x + 3), the measure of angle B is (4x + 2),

and the measure of angle C is (2x - 1)...

 

1. What is the value of x?

 

2. Find the measure of the angle (2x +3)

 

3. Find the measure of the angle (4x +2)

 

4. Find the measure of the angle (2x - 1)

 

Please show steps, Thanks

Answer 1

The sum of the angles of a triangle is 180 degrees

 

A + B + C = 180

2x+3 + 4x+2 + 2x-1 = 180

 

8x + 4 = 180

8x = 176

x = 22 degrees

 

From here

A:  multiply x by 2 and add 3

B:  Multiply x by 4 and add 2

C:  Multiply x by 2 and subtract 1