Given the following diagram, find the measures of ZA and ZB.
2 answers:
Answer:
x = 14.6
ZA = 30.8
ZB = 33.2
Step-by-step explanation:
Answer:
x = 14.6
ZA = 30.8
ZB = 33.2
Step-by-step 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
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