Question

In the figure, mZ1 = (6x) and m2 2 =(x-8)".(a) Write an equation to find x. Make sure you use an "=" sign in your answer.21Equation:D=Х?(b) Find the degree measure of each angle.$?mL1=1.m22= 1Check

Answer 1

`\begin{gathered} (a) \\ m<1\text{ +m<2=}90 \\ 6x+(x-8)=90 \\ 6x+x-8=90 \\ 6x+x=90+8 \\ 7x=98 \\ \text{The equation to find x is }7x=98 \\ x=(98)/(7) \\ x=14 \\ \mleft(b\mright) \\ m<1=6x \\ m<1=6(14) \\ m<1=84 \\ m<2=x-8 \\ m<2=14-8 \\ m<2=6 \\ The\text{ value of m<1 is 84\degree and m<2 is 6\degree} \end{gathered}`