Question

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°

Answer 1

Answer:

m∠A = 20°

m∠C = 100° because it is a vertical angle to the angle marked 100°.

m∠A + m∠B + m∠C = 180°

Step-by-step explanation:

Answer 2

Answer:

$m$

$m$

$m$

Step-by-step explanation:

Verify each statement

case A) $m$

The statement is True

we know that

The measure of angle A is equal to the angle marked $20\°$ by corresponding angles

case B) ∠B and the angle marked  $60\°$ are alternate exterior angles

The statement is False

Because, ∠B and the angle marked  $60\°$ are corresponding angles

case C) $m$ because it is a vertical angle to the angle marked $100\°$

The statement is True

we know that

$m$ ------> by vertical angles

case D) ∠B and ∠C are supplementary angles

The statement is False

we know that

$m$ ---> the sum is less than $180\°$

case E) $m$

The statement is True

we know that

$m$

and remember that

$m$

so

substitute

$m$