Question

De student.cms.k12.nc.us bookmarks

Tgbhyuj190[:Op = BubbleSheet
M Email Natoli, Micha..
Question 2
1 pts
BD bisects angle ABC.
The measure of angle ABD is (2x + 12) and the
measure of angle ABC is 44º. Find the value of x.

Answer 1

x = 5

Explanation:

Given that BD bisects <ABC, it means that <ABC is divided into two equal angles, which are <ABD and <CBD.This implies that:

m<ABD = m<CBD. Therefore:

2(m<ABD) = m<ABC

Substitute:

2(2x + 12) = 44

Solve for x.

4x + 24 = 44 (distributive property)

4x + 24 - 24 = 44 - 24 (substraction property of equality)

4x = 20

4x/4 = 20/4 (division property of equality)

x = 5