pls help!!!!!!!!!!

Question

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Answer 1

Alia,

You can do this problem two ways. You can use the triangle sum theorem and find that the missing angle in triangle KLM is 180- ( 135 + 23) = 22 degrees. Angle XLM and Angle KLM form a linear pair so they are supplementary. You can subtract 180-22= 158. The measure of angle XLM is 158. Now you are able to

set 3x-10 = 158 .

The second way is to use the Exterior Angle Theorem . The exterior angle of a triangle, Angle XLM is equal to the sum of the two remote interior angles. The sum of the two remote interior angles is 135 + 23=158. Set

3x-10 = 158.

Answer 2

The 3 angles of ANY triangle =180°.

A strait line is 180°.

Try it on your own.