Questions: Given m n, find the value of x.

Solution Steps

The angles (3x+29)° and (10x-5)° are supplementary angles, meaning they add up to 180° because they lie on the same side of the transversal 't' and are between the parallel lines 'm' and 'n'.

Since the angles are supplementary, we can set up the following equation:

(3x + 29) + (10x - 5) = 180

Combine like terms:

13x + 24 = 180

Subtract 24 from both sides:

13x = 156

Divide both sides by 13:

x = 12

Final Answer