Question

In triangle △abc, ∠c is a right angle and cd is the altitude to ab . find the measures of the angles of the △cbd and △cad if m∠a=α

Answer 1

In triangle △ABC, ∠C is a right angle and CD is the altitude to AB. The measures of the angles of △CBD and △CAD are ∠CBD = 90° and ∠CAD = 90°, respectively.

Step-by-step explanation:

In triangle △ABC, ∠C is a right angle and CD is the altitude to AB. to find the measures of the angles of △CBD and △CAD if m∠A=α.

Since ∠C is a right angle, △ABC is a right triangle.

In triangle △CBD, ∠C is a right angle, so ∠CBD = 90°.

In triangle △CAD, ∠C is a right angle, so ∠CAD = 90°.