Question

ZABD and ZBDC are complementary. Find the measures of both angles. MZABD =(y - 30), mZBDC = 2yº

Answer 1

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Answer:

• ∠ABD = 10°
• ∠BDC = 80°

Step-by-step explanation:

The sum of complementary angles is 90°.

  ∠ABD +∠BDC = 90°

  (y -30)° +(2y)° = 90°

  3y = 120 . . . . . . . . . . . . divide by °, add 30

  y = 40 . . . . . . . . . . . divide by 3

  ∠ABD = (40 -30)° = 10°

  ∠BDC = 2(40)° = 80°