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hoa [83]
3 years ago
9

What is the value of x in trapezoid ABCD? X = ?

Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
8 0
9x + 3x = 180
12x = 180
x = 15
SIZIF [17.4K]3 years ago
7 0

we know that

In the <u>isosceles trapezoid</u> of the figure, the angles on either side of the bases are the same size/measure (congruent), and adjacent angles (next to each other) along the sides are supplementary.

so

m∠A=m∠B=3x

m∠D=m∠C=9x

m∠A+m∠D=180

Substitute

3x+9x=180\\\\ 12x=180\\\\ x=\frac{180}{12} \\   \\ x=15\ degrees

therefore

<u>the answer is</u>

the value of x is equal to 15\ degrees

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