Quadrilateral ABCD is an isosceles trapezoid. If AB || CD, AB = m + 6, CD = 3m + 2, BC = 3m, and AD = 7m - 16, solve for m. A.) 2 B.) 3 C.) 4 D.) 5

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asked Jul 13, 2019 86.0k views

2 Answers

Jube · Answer 1 · 2019-07-20T06:13:12+0000

Answer:

C.) 4

Explanation:

we are given ABCD is an isosceles trapezoid

AB || CD

AB = m + 6

CD = 3m + 2

BC = 3m

AD = 7m - 16

Since, ABCD is an isosceles trapezoid

so, two sides must be equal

BC=AD

now, we can plug values

3m=7m-16

now, we can solve for m

3m-7m=7m-16-7m

-4m=-16

Divide both sides by -4

and we get

m=4