Question

Given m||n, find the value of x and y.

Answer 1

x = 18

y = 59°

Explanation:

∠(6x+13)° and ∠(7x-5)° are vertical angles, and so they are congruent.

Then, we can write the following equation to find the value of x:

7x - 5 = 6x + 13

• Transfer like terms to the same side of the equation.

7x - 6x = 13 + 5

• Add/subtract.

x = 18

∠y° and ∠(7x-5)° are supplementary angles, so we can write the following equation to find the value of y:

y + 7x - 5 = 180

• Replace x with 18.

y + 7×18 - 5

• Do the multiplying.

y + 126 - 5 = 180

• Subtract the left side.

y + 121 = 180

• Subtract 121 from both sides to isolate y.

y = 59