Respuesta :

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<DBC = 50 degrees (vertically opposite)
  • Sum of m<ABE and m<ABC are supplementary, hence:

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.

Learn more here: https://brainly.com/question/12919120