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°

Step-by-step explanation:

Verify each statement

case A)

The statement is True

we know that

The measure of angle A is equal to the angle marked by corresponding angles

case B) ∠B and the angle marked   are alternate exterior angles

The statement is False

Because, ∠B and the angle marked   are corresponding angles

case C) because it is a vertical angle to the angle marked

The statement is True

we know that

------> by vertical angles

case D) ∠B and ∠C are supplementary angles

The statement is False

we know that

---> the sum is less than

case E)

The statement is True

we know that

and remember that

so

substitute

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)

answer: the value of x is 7cm

step-by-step explanation: