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Lines EG and FH are parallel. a. Name all the angles congruent to angle ABE. 7.1 D G b. Wnte an equation that represents the relationship between angle FCD and angle HCD.

Answer a here (separate answers with a comma): *
Answer b here: *​

Lines EG and FH are parallel a Name all the angles congruent to angle ABE 71 D G b Wnte an equation that represents the relationship between angle FCD and angle class=

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Answer:

a. GBC, FCB, DCH

b. FCD+HCD=180

Step-by-step explanation:

A

  • by vertical angles ABE=GBC
  • by corresponding angles ABE=FCB
  • by alternate exterior angles ABE=DCH

B

  • FCD and HCD form a straight line which is equal to 180
abidemiokin

The angles that are congruent to ABE are BCF, DCH, and CBG

Angles FCD and HCD lie on the same straight line. This means that the sum of both angles will sum up to 180degrees since the sum of angle of a straight line is 180degrees (supplementary). Hence the required equation will be:

<FCD + <HCD = 180

An angle is a point where two lines meet or intersect.

The angles that are congruent to ABE are BCF, DCH, and CBG

ABE = BCE (corresponding angle)

Since BCE = DCH (vertically opposite angles), hence:

ABE = DCH (vertically opposite angles)

Also, we can see that DCH = CBG (corresponding angles), hence:

ABE = CBG (corresponding angle)

b) From the given diagram, we can see that angles FCD and HCD lie on the same straight line. This means that the sum of both angles will sum up to 180degrees since the sum of angle of a straight line is 180degrees (supplementary). Hence the required equation will be:

<FCD + <HCD = 180

Learn mre here: https://brainly.com/question/14941189

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