Question

this question shows an image of a scalene triangle. angle c equals 37 degrees. find the measurement of angle a: 2x+4 degrees and angle b: 2x-9

Answer 1

The sum of angle measures in a triangle add up to 180 degrees

Given the angle measures as ;

A= 2x + 4

B= 2x-9

C= x

Then, it is true to say;

2x + 4 + 2x-9 + x = 180

5x -5 = 180

5x = 180-5

5x = 175

x = 175/ 5

x = 35°

So angles

A= 2x +4 = 2*35 + 4 = 74°

B= 2x-9 = 2*35 -9 = 70 -9 = 61°

C= x= 35°

Answer

< A = 74°