Question

if p || , m<7 = 131°, and m<16 = 88°, find the measure of the missing angle m<1 = ?

Answer 1

According to the given problem,

$\angle7=131^{\circ}$

Note: When two lines are intersecting, then the pair of vertivally opposite angles are always equal.

Since the angles 1 and 7 are vertically opposite angles formed due to the intersection of lines 'p' and 'r'. So they must also be equal,

$\begin{gathered} \angle1=\angle7 \\ \angle1=131^{\circ} \end{gathered}$

Thus, the angle 1 measures 131 degrees.