Question

If m_ABD

-
83° and m ABC = (x + 10) and mZDBC
(2 + 10) and mZDBC = (4x – 12), what is the measure of each angle?
B
Enter the correct numbers in the boxes.
lo
mABC -
mZDBC =​

Answer 1

m<ABC=27°

m<DBC=56°

Explanation:

(x+10)+(4x-12)=83

5x-2=83

5x=83+2

5x=85

x=17

m<ABC=(x+10)=(17+10)=27°

m<DBC=(4x-12)=(4*17-12)=56°