Question

if m∠4 = 35, find m∠2. explain.
a. 55; ∠2 and ∠4 are complementary angles, so m∠2 = 90 - m∠4.
b. 35; ∠2 and ∠4 are corresponding angles, so m∠2 = m∠4.
c. 145; ∠2 and ∠4 are supplementary angles, so m∠2 = 180 - m∠4.
d. 35; ∠2 and ∠4 are alternate interior angles, so m∠2 = m∠4.

Explanation:

Step1: Identify angle - relationship

$\angle2$ and $\angle4$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Calculate $m\angle2$

Since $m\angle4 = 35^{\circ}$ and $m\angle2=m\angle4$, then $m\angle2 = 35^{\circ}$.

Answer:

B. 35; $\angle2$ and $\angle4$ are corresponding angles, so $m\angle2 = m\angle4$