Question

Given the following diagram, find the measures of ZA and ZB.

B (2x + 4)
(3x - 13)
116°
с
A
The value of ZA is
The value of ZB is

Answer 1

x = 14.6

ZA = 30.8

ZB = 33.2

Explanation:

First, solve x: (knowing all angles of a triangle are 180º)

116º + (2x + 4)º + (3x-13)º = 180º

116 + 2x + 4 + 3x - 13 = 180

2x + 3x = 180 + 13 - 4 - 116

5x = 73

x = 73/5 = 14.6

ZA = 3*14.6 - 13 = 30.8

ZB = 2*14.6 + 4 =33.2

Test:

116º + 33.2º + 30.8º = 180º