Question

PQ:RS;angle mxq=135 and angle myr =40;find angle xmy

Answer 1

its is the right answer.

Answer 2

Answer:

$\angle X M Y=85^{\circ}$

Step-by-step explanation:

Through point M, draw a line AB parallel to the line PQ.

$ABPQ,PQRS$

$\angle Q X M$ and $\angle X M B$ are interior angles on the same side of the transversal $X M$.

$\angle Q X M+\angle X M B=180^{\circ}$ (Sum of the interior angles on the same side of transversal XM is supplementary)

$135^{\circ}+\angle X M B=180^{\circ}$

$\angle X M B=180^{\circ}-135^{\circ}=45^{\circ}$

$\angle Y M B=\angle M Y R=40^{\circ}[ alternate angles]$

$\angle X M Y=\angle X M B+\angle B M Y\\\angle X M Y=45^{\circ}+40^{\circ}=85^{\circ}$