Line segment AB is perpendicular to CB Ray BD disects /ABC .What is m /DBC

Step-by-step explanation:

You can observe a representation of the problem in the image attached.

Notice that angle ABD and DBC are congruent.

Also, those angles are complementary, which means

And we know that

So,

Which means that

Therefore, the measure of angle DBC is 45°.

< DBC is

Step-by-step explanation:

The line segment AB perpendicular to CB implies that a right angle is formed at point B. So that, AB and CB meets at B at to each other. Since the ray BD bisects <ABC, i.e it divides <ABC into two equal parts.

Thus,  

             =

Therefore, < DBC =

and                  < DBC =  < ABD =

These two angles are said to be complementary angles. Complementary angles are set of two or more angles that add up to .

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet