Two parallel lines, AB←→ and CD←→, are cut by a transversal as shown in the figure. If m∠4 = 125°, which of the following is true?

Option 3, m∠8=125∘

Step-by-step explanation:

The answer choices given include:

m∠6=125∘

m∠7=125∘

m∠8=125∘

m∠3=125∘

A few theorems we could use include:

Vertical angles are congruent.

Alternate interior angles are congruent

Same side interior angles are supplementary.

This said, we can go through the options and figure out which ones are true.

∠6 and ∠4  are Same side interior angles and are therefore supplementary.

m∠6 = 180-125 = 55

Option 1 is not true.

∠6 and ∠7 are Vertical angles and are therefore congruent.

We previously ruled that m∠6=55 and therefore m∠7 =55

Option 2 is not true.

We can use ∠5 to see if m∠8=125.

∠5 and ∠4 are Alternate interior angles and therefore are congruent.

∠8 and ∠5 are Vertical angles and are therefore congruent.

Hence, m∠8=125

Option 3 is true.

A line is 180 degrees. ∠3 and ∠4 are supplementary. Therefore, m∠3=55 (180-125)

Option 4 is not true.

i am unable to solve this problem

step-by-step explanation: