. ∠J and ∠M are base angles of isosceles trapezoid JKLM. If m∠J = 18x + 8, and m∠M = 11x + 15, find m∠K. 3

164

Step-by-step explanation:

Remark

The two base angles are equal. That means that

<M = <J

18x + 8 = 11x + 15        Subtract 8 from both sides

18x  = 11x + 15 - 8       Combine      

18x = 11x + 7               Subtract 11x from both sides

18x - 11x = 7               Combine

7x = 7                        Divide by 7

x = 7/7

x = 1            

Find J

<J = 18x + 8

<J = 18*1 + 8

<J = 26

Find K

<K is supplementary to <J

<K + <J = 180

<K + 26 = 180

<K = 180 - 26

<K = 164

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