In the diagram above, l1 is parallel to l2, Find the value of < PMT

In the diagram above, l1 is parallel to l2, Find the value of < PMT

Answer Details

< MPT = ${180}^{\circ }$ - ${118}^{\circ }$ = ${62}^{\circ }$
< PML = ${62}^{\circ }$ (Alternating angles)
y + 2y + ${10}^{\circ }$ + ${62}^{\circ }$ = ${180}^{\circ }$ (Angles on a straight line)
3y = 180 - 72
$\frac{3y}{3}$ = $\frac{108}{3}$
y = ${36}^{\circ }$
< PMT = 2y + 10 = 2(36) + 10 = ${82}^{\circ }$