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DECK is a parallelogram with m∠1 = 20°, m∠(
x^(2))°, and m∠CED = (9x)°. Find m∠2.

DECK is a parallelogram with m∠1 = 20°, m∠(x^(2))°, and m∠CED = (9x)°. Find m∠2.-example-1

1 Answer

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Answer:

m∠2 = 16° or 25°

Explanation:

The sum of angles 1 and 2 is congruent to angle CED.

20° +(x^2)° = (9x)°

x^2 -9x +20 = 0 . . . . . divide by °, put in standard form

(x -5)(x -4) = 0 . . . . . . . factor

x = 5 or 4

m∠2 = (x^2)° = (5^2)° or (4^2)°

m∠2 = 16° or 25°

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