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°.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )