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J and M are base angles of an isosceles trapezoid JKLM. If the measure of angle J = 23x+4 and measure of angle M =12x+15, find the measure of angle K

 Jan 21, 2020
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The sum of angles  J  and  M  will be  180°.

 

J + M  =  (23x + 4) + (12x + 15)  =  180

                                   35x + 19  =  180

                                            35x  =  161

                                               x  =  4.6

 

Angle K will have the same size as angle M:  12(4.6) + 15  =  70.2°

 Jan 22, 2020

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