SOLUTION: ABCD is a rhombus. The measure of ∠B is (x+5), and the measure of ∠C is 2x Which statement explains why the equation 2x+x+5=180 can be used to solve for x?. A.

Question 1134747: ABCD is a rhombus. The measure of ∠B is (x+5), and the measure of ∠C is 2x

Which statement explains why the equation 2x+x+5=180 can be used to solve for x?.

A. Opposite sides in a rhombus are parallel.
B. A square is a type of rhombus.

C. All sides in a rhombus are congruent.
D. Opposite angles in a rhombus are congruent.

Answer by mathsolverplus(88) (Show Source): You can put this solution on YOUR website!

Given that the interior angles of any quadrilateral add up to 360,
Choice D would result in the following:
(x+5)+(x+5)+(2x)+(2x) = 360
2(x+5) + 2(2x) = 360
(x+5) + 2x = 180

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