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SVETLANKA909090 [29]
3 years ago
15

PLEASE HELP MEEE !!!!

Mathematics
1 answer:
labwork [276]3 years ago
4 0

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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