Question

if (mangle4 = 35), find (mangle2). explain.
a. 55; (angle2) and (angle4) are complementary angles, so (mangle2=90 - mangle4).
b. 35; (angle2) and (angle4) are corresponding angles, so (mangle2 = mangle4).
c. 145; (angle2) and (angle4) are supplementary angles, so (mangle2 = 180 - mangle4).
d. 35; (angle2) and (angle4) are alternate interior angles, so (mangle2 = mangle4).

Explanation:

Step1: Identify angle - type relationship

$\angle2$ and $\angle4$ are alternate interior angles formed by parallel lines $AB$ and $CD$ and a transversal.

Step2: Apply angle - property

For alternate interior angles, $m\angle2 = m\angle4$.

Step3: Substitute the given value

Given $m\angle4 = 35$, so $m\angle2=35$.

Answer:

D. 35; $\angle2$ and $\angle4$ are alternate interior angles, so $m\angle2 = m\angle4$