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sveta [45]
3 years ago
7

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

Mathematics
1 answer:
choli [55]3 years ago
8 0

Answer:

A. 19.5

Step-by-step explanation:

Diagonals of a rhombus intersect at right angles. Therefore the angle opposite to AD = 90°.

Thus:

90° + x + 3x + 12 = 180° (sum of ∆)

Add like terms

102 + 4x = 180

Subtract 102 from each side

4x = 180 - 102

4x = 78

Subdue both sides by 4

x = 19.5

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