3 years ago

Find m P. Quadrilateral

Mathematics

1 answer:

Mashutka [201]3 years ago

8 0

Answer:

m∠P = 107º

Step-by-step explanation:

Since two sides are parallel this is a trapezoid

In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to 180 degrees.

(7x + 31) + (21x - 19) = 180

combine like terms

28x + 12 = 180

Subtract 12 from both sides

28x = 168

Divide both sidees by 28

x = 6

m∠P = 21x - 19

m∠P = 21(6) - 19

m∠P = 107º

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