In triangle δabc, ∠c is a right angle and cd is the height to ab , find the angles in δcbd and δcad if: m∠a = 20°

The measure of angle B is 70°.

The measure of angle DCB is 20°.

The measure of angle DCA is 70°.

Step-by-step explanation:

Given information: In triangle ΔABC, m∠A = 20°, ∠C is a right angle and CD is the height to AB.

It means CD⊥AB and .

According to the angle sum property, the sum of all interior angles of a triangle is 180°.

In triangle ABC,

Therefore, the measure of angle B is 70°.

In triangle CBD,

Therefore, the measure of angle DCB is 20°.

n triangle CAD,

Therefore, the measure of angle DCA is 70°.