Question

DECK is a parallelogram with m∠1 = 20°, m∠({2}" align="absmiddle" class="latex-formula">)°, and m∠CED = (9x)°. Find m∠2.

Answer 1

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Answer:

  m∠2 = 16° or 25°

Step-by-step 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°