Question

Find the measure of each angle in the proplem RE contains point P

Answer 1

In the given figure, line LP is lie on the line RE, thus from the linear property

Angle LPR + Angle LPE = 180°

It is given that Angle LPR = 3z, angle LPE = 2z

Angle LPR + Angle LPE = 180°

3z° + 2z° = 180°

5z° = 180°

z = 180/5

z=36

Substitute the value of z = 36 in the angle LPR;

Angle LPR = 3z

= 3(36)

=108°

Angle LPE = 2z

= 2(36)

= 72°

Answer : B) 108 and 72