Find the measure of each angle in the isosceles trapezoid

You can use the  symmetric property of the isosceles trapezoid and the fact that a triangle has sum of its angles as 180°

The measures of unknown angles are:

Due to the figure being isosceles trapezoid, it is symmetric.
Isosceles trapezoid has its two rest sides(which aren't necessary parallel) are of equal length.

Considering JKLM trapezoid, we have:

Thus, we have:

(Refer to the diagram attached below)

Dropping perpendiculars from vertices J and K on line LM at A and B respectively, we get:

Since in any triangle, we have sum of all the angles as of 180 degrees, thus:

Since angle L and angle M are of same measure, thus:

Thus, we have the missing angles as:

Learn more about isosceles trapezoid here:

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Since it is an isosceles trapezoid, the Angle K = Angle J = 118

Since it is a trapezoid, all 4 angles total 360.

Anlge K + Angle J = 236

Angle L + M = 360 - 236 = 124

Angle L = 62 and Angle M = 62

Step-by-step explanation:

answer: 1 + 1 = 11

step-by-step explanation: