Answered

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

Sagot :

Answer:

156°

Step-by-step 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°

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