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10 POINTS!!! Please help
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4 votes
10 POINTS!!! Please help

10 POINTS!!! Please help-example-1
User Tomasz Nguyen
by
7.3k points

1 Answer

6 votes

Answer:

<D = 80°

Explanation:

ABCD is a quadrilateral so

The opposite angles are supplements. In other words, the sum of their measures is 180 degrees.

So

<A + <C = 180°

Plug in

2x + 13 + 3x + 37 = 180

5x + 50 = 180

5x = 130

x = 26

<B + <D = 180°

2x + 3y + 5y = 180

2(26) + 8y = 180

52 + 8y = 180

8y = 128

y = 16

<D = 5(16) = 80°

User Alex Keil
by
8.5k points
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