1. Use the diagram to find the measures of each angle. Explain your reasoning
a. ABC
b. ABE
C. EBD

Answer:
a. 130
b. 50
c. 130
Step-by-step explanation:
Since you know DBC is 50 degrees you know its vertical angle, ABE is 50 degrees, and since they are supplements you know the other two vertical angles are 130 degrees.
The measure of m<ABC, m<ABE, and m<EBD are 130, 50, and 130 respectively
The point where two lines meet is known as an angle.
From the given angle, we can see that;
m<ABE + m<ABC = 180 degrees
50 + m<ABC = 180
m<ABC = 180 - 50
m<ABC = 130degrees
Get the angle m<EBD
m<EBD and m<CBD are also supplementary, hence:
m<EBD + m<CBD = 180
m<EBD + 50 = 180
m<EBD = 180 - 50
m<EBD = 130degrees
Hence the measure of m<ABC, m<ABE, and m<EBD are 130, 50, and 130 respectively.
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