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The diagram shows parallel lines cut by two transversal lines creating a triangle. Which statements are true? Check all that apply.
m∠A = 20°
∠B and the angle marked 60° are alternate exterior angles.
m∠C = 100° because it is a vertical angle to the angle marked 100°.
∠B and ∠C are supplementary angles.
m∠A + m∠B + m∠C = 180°

The diagram shows parallel lines cut by two transversal lines creating a triangle Which statements are true Check all that apply mA 20 B and the angle marked 60 class=

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calculista

Answer:

[tex]m<A = 20\°[/tex]

[tex]m<C = 100\°[/tex]

[tex]m<A+m<B+m<C < 180\°[/tex]

Step-by-step explanation:

Verify each statement

case A) [tex]m<A = 20\°[/tex]

The statement is True

we know that

The measure of angle A is equal to the angle marked [tex]20\°[/tex] by corresponding angles

case B) ∠B and the angle marked  [tex]60\°[/tex] are alternate exterior angles

The statement is False

Because, ∠B and the angle marked  [tex]60\°[/tex] are corresponding angles

case C) [tex]m<C = 100\°[/tex] because it is a vertical angle to the angle marked [tex]100\°[/tex]

The statement is True

we know that

[tex]m<C = 100\°[/tex] ------> by vertical angles

case D) ∠B and ∠C are supplementary angles

The statement is False

we know that

[tex]m<B+m<C < 180\°[/tex] ---> the sum is less than [tex]180\°[/tex]

case E) [tex]m<A+m<B+m<C < 180\°[/tex]

The statement is True

we know that

[tex]m<A+100\°+m<B = 180\°[/tex]

and remember that

[tex]m<C = 100\°[/tex]

so

substitute

[tex]m<A+m<B+m<C < 180\°[/tex]

Answer:

A
C
E

Step-by-step explanation:

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