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Find the values of x and y.

Find the values of x and y.-example-1

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Answer:

x = 15; y = 21

Explanation:

The vertical angles have the same measure.

The sum of the measures of the angles of a triangle is 180 deg.

Left triangle:

4y - 18 + y + 14 + 6x - 11 = 180 Equation 1

Right triangle:

6x - 11 + 81 + x + 5 = 180 Equation 2

Simplify Equation 1.

4y - 18 + y + 14 + 6x - 11 = 180

6x + 5y = 195 Equation 3

Simplify Equation 2.

6x - 11 + 81 + x + 5 = 180

7x = 105

Solve last equation for x.

7x/7 = 105/7

x = 15

Substitute 15 for x in Equation 3 and solve for y.

6x + 5y = 195

6(15) + 5y = 195

90 + 5y = 195

5y = 105

y = 21

Answer: x = 15; y = 21

User Rafy
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