Question

anwsers a. x = 9; angle measure is 27°b. x = 9; angle measure is 45°c. x = 15; angle measure is 45°d. x = 15; angle measure is 27°

Answer 1

The sum of angle 3x and 45 is equal to 72. So equation for x is,

$3x+45=72$

Simplify the equation to obtain the value of x.

$\begin{gathered} 3x+45=72 \\ 3x=72-45 \\ 3x=27 \\ x=9 \end{gathered}$

Determine the measure of angle 3x.

$\begin{gathered} 3x=3\cdot9 \\ =27 \end{gathered}$

So value of x is 9 and measure of angle 3x is 27 degree.