Question

PLEASE HELP MEEE !!!!

Answer 1

Given:

The figure of a trapezium.

To find:

The measures of missing angle $m\angle K, m\angle M$.

Solution:

In the given figure $JK\parallel ML$.

If a transversal line intersect the two parallel lines, then the same sides interior angles are supplementary angles.

$m\angle J+m\angle M=180^\circ$         (Supplementary angles)

$87^\circ+m\angle M=180^\circ$

$m\angle M=180^\circ-87^\circ$

$m\angle M=93^\circ$

Similarly,

$m\angle L+m\angle K=180^\circ$         (Supplementary angles)

$51^\circ+m\angle K=180^\circ$

$m\angle K=180^\circ-51^\circ$

$m\angle K=129^\circ$

Therefore, $m\angle M=93^\circ$ and $m\angle K=129^\circ$.