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Otrada [13]
3 years ago
13

How would I figure this out?? pls explain.

Mathematics
1 answer:
NeX [460]3 years ago
8 0

Answer:

D

Step-by-step explanation:

The diagonals of a rhombus bisect the angles, thus

∠ ABC = ∠ CBD = 5x - 18 and

∠ BAC = ∠ DAC = x

The diagonals are perpendicular bisectors of each other, thus

the angles round the intersection of the diagonals = 90°

Consider the triangle on the left of the rhombus, then

5x - 18 + x + 90 = 180 ( sum of angles in a triangle )

6x + 72 = 180 ( subtract 72 from both sides )

6x = 108 ( divide both sides by 6 )

x = 18 → D

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Step-by-step explanation:

Property used: <em>An exterior angle of a triangle is equal to the sum of the opposite interior angles.</em>

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