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Please help me if you can!

Please help me if you can!-example-1
User Ashokgelal
by
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1 Answer

4 votes

Answer:

y = 7

Explanation:

We know that the sum of the measures of angles on one side of the parallelogram is 180°.

We have the equation:

(6x - 12) + (132 - x) = 180

6x - 12 + 132 - x = 180 combine like terms

(6x - x) + (-12 + 132) = 180

5x + 120 = 180 subtract 120 from both sides

5x = 60 divide both sides by 5

x = 12

Opposite angles in the parallelogram are congruent.

Therefore:

6y + 18 = 6x - 12

Put the value of x to the equation and solve it for y:

6y + 18 = 6(12) - 12

6y + 18 = 72 - 12

6y + 18 = 60 subtract 18 from both sides

6y = 42 divide both sides by 6

y = 7

User Nina
by
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