1 Answer

Doug Ayers · Answer 1 · 2022-11-22T02:04:34+0000

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
$m\angle K=129^\circ$ .

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