Question

If x = 21degrees, find the measures of angles 1, 2, and 3

Answer 1

According to the figure, angle x and angle 1 are adjacent-complrementy angles, which means they sum 90 degrees.

`\begin{gathered} x+\angle1=90 \\ 21+\angle1=90 \\ \angle1=90-21=69 \end{gathered}`

Therefore, angle 1 measures 69 degrees.

Then, angle 2 measure 90 degrees because it forms a pair of vertical angles with the opposite perpendicular shown

Therefore, angle 2 measures 90 degrees.

At last, angles 1 and 3 are vertical angles, hence, they are equal.

Therefore, angle 3 measures 69 degrees.