Question

according to the corresponding angles conjecture, if parallel lines ( l_1 ) and ( l_2 ) are cut by a transversal ( t ), and ( angle1 = 95^{circ} ), what is the measure of the corresponding angle ( angle5 )?
a. ( 80^{circ} )
b. ( 85^{circ} )
c. ( 95^{circ} )

Explanation:

Step1: Recall corresponding - angles property

When parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Apply the property

Since ∠1 and ∠5 are corresponding angles and ∠1 = 95°, then ∠5=95°.

Answer:

C. 95°