Question

Angle J and angle M are base angles of isosceles trapezoid JKLM. If angle J= 15x+9 and angle M=9x+15 find K

Answer 1

156°

Explanation:

To solve this problem, we first use the relation

15x + 9 = 9x + 15, on collecting like terms, we have

15x - 9x = 15 - 9

6x = 6

x = 1

And if x is equal to 1, then the base angles are 15 + 9 which is 24°.

And finally, to find k, we subtract the calculated angle from 180 and thus

180 - 24 = 156°