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Given that ABCD is a rhombus, what is the value of x? ​

Given that ABCD is a rhombus, what is the value of x? ​-example-1
User Wouter
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1 Answer

5 votes

Answer:

E. 18.6

Explanation:

The diagonals of a rhombus bisect each other at right angles. The means all of the triangles shown are right triangles, and the two marked angles are complementary.

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solve for x

Complementary angles total 90°.

(x°) +(4x -3)° = 90° . . . . . the marked angles are complementary

5x = 93 . . . . . . . . . . . . divide by °, add 3

x = 93/5 = 18.6 . . . . . divide by the coefficient of x

The value of x is 18.6.

User Ken Wheeler
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