Question

Angle ABD and Angle CBD are supplementary angles and Angle CBD and Angle DBE are complementary. If the measure of angle ABD is 144 degrees what is the measure of angle DBE

Answer 1

Answer:

54°

Step-by-step explanation:

ABD = 144°

ABD + CBD = 180°......(i)

CBD + DBE = 90°........(ii)

From (i)

144° + CBD = 180°

CBD = 180° - 144°

= 36°

From (ii)

CBD + DBE = 90°

36° + DBE = 90°

DBE = 90 - 36

= 54°