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Option B:

m∠7 = 65°

Solution:

Given data:

Line e and d are parallel and c is the transversal line.

m∠6 = (8x – 13)° and m∠3 = (4x + 1)°

∠6 and ∠3 are co-interior angles.

Co-interior angles add up to 180°.

m∠6 + m∠3 = 180°

⇒ (8x – 13)° + (4x + 1)° = 180°

⇒ 8x° – 13° + 4x° + 1° = 180°

⇒ 12x° – 12° = 180°

Add 12° on both sides of the equation.

12x° = 192°

Divide by 12° on both sides of the equation.

x° = 16°

Substitute x = 16 in ∠3.

m∠3 = (4x + 1)°

        = (4 × 16 + 1)°

m∠3 = 65°

∠3 and ∠7 are corresponding angles.

Corresponding angles on the same side of the transversal are congruent.

m∠7 = m∠3

m∠7 = 65°

Option B is the correct answer.

explanation:

step-by-step explanation: