Solve for x and y using the angles shown,

Step-by-step explanation:

We have the vertical angles and supplementary angles.

Vertical angles are congruent. Therefore we have the equation:

Supplementary angles add up to 180°. Therefore we have the equation:

Solve (2):

Put the value of x to (1) and sole:

x = 6

y = 24

Step-by-step explanation:

(14x + 4) + (16x - 4) <--- you add them because they are supplementary angles and are equal to 180°

(14x + 4) + (16x - 4) = 180

30x = 180

 x = 6

Then you plug in 6 to (14x + 4)

(14(6) + 4) = 84 + 4 = 88

180 - 88 = 92

Now subtract 92 from 180 and make it equal to (4y - 8) to get y.

 (4y - 8) = 180 - 92 ---> (4y - 8) = 88

                                           + 8    + 8

                                         4y = 96

                                               y = 24

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step-by-step explanation:

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