Question

a and b are supplementary angles. if ma=(5x+25)°and mb=(x+17)°, find the measure of a

Answer 1

if a and b are supplementary. Therefore we get that

$\begin{gathered} 5x+25+x+17=180 \\ 6x+42=180 \\ 6x=138 \\ x=\frac{138}{6}=23 \end{gathered}$

so the measure for the angle a is

$m\angle a=5\cdot23+25=115+25=140$