Question

M<ZHG = 11x - 1, m<ZIHZ=24°
and m<IHG = 12x + 13. Find m<IHG.​

Answer 1

m<IHG=133°

Explanation:

see the attached figure to better understand the problem

we know that

m<ZHG+m<IHZ= m<IHG -----> by angle addition postulate

substitute the given values and solve for x

11x-1+24=12x+13

Combine like terms

11x+23=12x+13

Group terms that contain the same variable

12x-11x=23-13

x=10

Find the measure of angle IHG

substitute the value of x

m<IHG= 12(10)+13 =133°