In triangle △ABC, ∠C is a right angle and CD is the altitude to AB. Find the angles in △CBD and △CAD if m∠A = 65°

m∠DBC =
m∠DCB =
m∠CDB =
m∠ACD =
m∠ADC =

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darkness880826 darkness880826 · Answer 1 · 2021-09-23T01:23:15+02:00

Simple drawing shows that measure interior angle at B is 25 degrees.

Easily seen from a drawing are that measure of angle CBD is 25 degrees, and measure of angle CAD is 65 degrees (which was already given).

Heres the plot formula!

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bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-07-13T13:05:08+02:00

m∠DBC =25°, m∠DCB =55°, m∠CDB =90°, m∠ACD =25°, m∠ADC =90°.

In triangle △ABC, ∠C is a right angle and CD is the altitude to AB.

We need to find the angles in △CBD and △CAD if m∠A = 65°.

A plane figure with three straight sides and three angles.

Consider △CAD

∠ADC =90°.

∠ACD+∠ADC+∠CAD=180°.

⇒∠ACD+90°+65°=180°

⇒∠ACD=180°-155°=25°

Consider △CBD

∠CDB =90°

∠DCB+∠ACD =90°

⇒∠DCB+25°=90°

⇒∠DCB=55°

Now, ∠DBC+∠DCB+∠CDB =180°

⇒∠DBC+55°+90° =180°

⇒∠DBC=25°

Therefore, m∠DBC =25°, m∠DCB =55°, m∠CDB =90°, m∠ACD =25°, m∠ADC =90°.

To learn more about the triangle visit:

https://brainly.com/question/2773823.

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