Question

In triangle δabc, ∠c is a right angle and cd is the altitude to ab . find the angles in δcbd and δcad if: b m∠a=a

a) m∠cbd = 90°, m∠cad = a
b) m∠cbd = a, m∠cad = 90°
c) m∠cbd = 90°, m∠cad = 90°
d) m∠cbd = a, m∠cad = a

Answer 1

In triangle ΔABC with a right angle at C and CD as the altitude to AB, the angles in ΔCBD and ΔCAD are complementary, adding up to 90° each.

Step-by-step explanation:

In triangle ΔABC, ∠C is a right angle and CD is the altitude to AB. To find the angles in ΔCBD and ΔCAD, we need to consider the given information and the properties of right triangles.

Since ∠C is a right angle, ∠CBD and ∠CAD are complementary angles, meaning they add up to 90°. Therefore, option (c) m∠CBD = 90° and m∠CAD = 90° is the correct answer.