Geometry worksheet

Question

in ABC, if angle angle a is thirteen less than angle c and angle b is eleven less than four times angle c, find the measure of each angle

Answer 1

c represents the size of angle c

c - 13 represents the size of angle a

4c - 11 represents the size of angle b

c + c - 13 + 4c - 11 = 180°

Can you solve for c and answer?

Answer 2

A=C-13

B=4C-11

A+B+C=180

(C-13)+(4C-11)+C=180

C-13+4C-11+C=180

6C-24=180

6C=180+24

6C=204

C=34

A=34-13=21

B=4x34-11=125