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RQPO is a trapezoid. What is the value of x?263°(6x + 9°R

User Brutuscat
by
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1 Answer

4 votes

EXPLANATION

Applying the Trapezoid Theorem, give us the following relationship:

2*63+ 2*(6x+9) = 360

This is because we have two pairs of congruent angles. Also, the sum of interior angles is equal to 360 degrees.

Applying the distributive property and multiplying numbers:

126 + 12x + 18 = 360

Adding like numbers:

144 + 12x = 360

Subtracting 144 to both sides:

12x = 360 - 144

Subtracting numbers:

12x = 216

Dividing both sides by 12:

x = 216/12

Simplifying:

x = 18

The value of x is 18 units

User GETah
by
6.9k points
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