Question

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

Answer 1

Answer:

The measure of angle DBC is 45°.

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

$\angle ABD + \angle DBC = 90\°$

And we know that $\angle ABD = \angle DBC = x$

So,

$x+x=90\°\\2x=90\°\\x=\frac{90\°}{2}\\ x=45\°$

Which means that $\angle DBC = 45\°$

Therefore, the measure of angle DBC is 45°.

Answer 2

Answer:

< DBC is $45^{0}$

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 $90^{0}$ to each other. Since the ray BD bisects <ABC, i.e it divides <ABC into two equal parts.

Thus,  

           $\frac{90^{0} }{2}$  = $45^{0}$

Therefore, < DBC = $45^{0}$

and                  < DBC =  < ABD = $45^{0}$

These two angles are said to be complementary angles. Complementary angles are set of two or more angles that add up to $90^{0}$.