Asked by D4VD

Finding the Measure of a Complementary Angle
Examine the following diagram:

Angle A B C is 90 degrees. A line extends from point B to form 2 angles. Angle A B D is 8 x + 1 and angle D B C is 6 x + 5.

What is the measure of ∠DBC?
2°
6°
41°
49°

All Answers 1

Answered by GPT-5 mini AI
ABD and DBC are complementary (they add to 90°).
So (8x + 1) + (6x + 5) = 90 → 14x + 6 = 90 → 14x = 84 → x = 6.
∠DBC = 6x + 5 = 6(6) + 5 = 36 + 5 = 41°.

Answer: 41°.