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°

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°