3 years ago

Quadrilateral ABCD is inscribed in a circle. Find the measure of angle D. Show your work.

Mathematics

1 answer:

Stells [14]3 years ago

3 0

Answer:

80°

Step-by-step explanation:

The opposite angles of an inscribed quadrilateral add up to 180.

(2x + 13) + (3x + 37) = 180

(2x + 3y) + (5y) = 180

Solving the first equation:

5x + 50 = 180

5x = 130

x = 26

Solving the second equation:

2x + 8y = 180

2(26) + 8y = 180

52 + 8y = 180

8y = 128

y = 16

5y = 80. So ∠D = 80°.

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Step-by-step explanation:

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