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scoundrel [369]
3 years ago
6

: Find the angle measures given the figure is a rhombus.

Mathematics
1 answer:
Marysya12 [62]3 years ago
7 0

Answer:

74°

Step-by-step explanation:

A rhombus is a quadrilateral (has four sides). For a rhombus: opposite sides are equal, opposite angles are equal, all the sides are equal, the diagonals bisect each other, adjacent angles are supplementary, diagonals bisect the angles.

From the diagram below since adjacent angles of a rhombus are supplementary therefore:

32° + 2∠1 (diagonals bisect the angles) = 180

2∠1 = 180 - 32

2∠1 = 148

∠1 = 148 / 2

∠1 = 74°

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Just solve that equation to find x. Then used then plug in the x value to (17x+1). After you solve that put it equal to 2y to solve for y.

So the y equation would look like: 2y=(17x+1) (but you would have solved for x and then plugged it in to the equation)

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Answer/Step-by-step explanation:

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3 years ago
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