Question

For the rhombus above, find the value of x. (leave decimal answer in the
hundredths place)

Answer 1

x = 19.25

Explanation:

The diagonal of a rhombus bisects opposite angles and opposite angles are congruent.

So, 2x - 1 is the measure of the third angle of the triangle

Therefore, 2x - 1 + 2x - 1 + 4x + 28 = 180 since the sum of the measures of the angles of a triangle is 180

8x + 26 = 180

8x = 154

x = 19.25

Answer 2

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