The measure of ∠JLM is 140°. The measure of ∠JKL is 75°. What is the measure of ∠KJL?

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1 Answer
Emily
May 11, 2018

#/_KJL# is #65˚#.

Explanation:

If #/_JLM# is 140˚, we can calculate #/_JLK#. This is because the two angles are supplementary and add up to 180˚.

#/_JLM + /_JLK=180˚#
#140˚ +/_JLK=180˚#
#/_JLK=180˚-140˚#
#/_JLK=40˚#

Now, we must use the angles properties of triangles. You can learn more about them here. For this problem, we can use the fact that all the interior angles of a triangle must equal 180˚.

#/_JLK+/_JKL+/_KJL=180˚#

Then, we substitute in the values we know.

#75˚+40˚+/_KJL=180˚#
#115˚+/_KJL=180˚#

Because we are looking for #/_KJL#, we need to isolate it.

#/_KJL=180˚-115˚#
#/_KJL=65˚#

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