Question

40 pnts and brainliest to best answer ( :
Chelsea drew two parallel lines KL and MN intersected by a transversal PQ, as shown below.
Which fact would help Chelsea prove that the measure of angle KRP is equal to the measure of angle MSR?

A. When angles KRS and MSR are equal to angle RSN, the angles KRP and MSR are congruent.

B. When angles KRP and KRS are equal to angle LRS, the angles KRP and MSR are congruent.

C. When angle LRS is equal to angle KRP and angles LRS and RSN are complementary, angle KRP and angle MSR are congruent.

D. When angle LRS is equal to both the angles KRP and MSR, angle KRP and angle MSR are congruent to each other.

Answer 1

Answer:

• Option D

Step-by-step explanation:

A. When angles KRS and MSR are equal to angle RSN, the angles KRP and MSR are congruent.

• Incorrect. KRS and MSR are same side interior angles and are not equal.

B. When angles KRP and KRS are equal to angle LRS, the angles KRP and MSR are congruent.

• Incorrect. KRP and KRS are supplementary and are not equal.

C. When angle LRS is equal to angle KRP and angles LRS and RSN are complementary, angle KRP and angle MSR are congruent.

• Incorrect. LRS and RSN are not complementary.

D. When angle LRS is equal to both the angles KRP and MSR, angle KRP and angle MSR are congruent to each other.

• Correct.

Answer 2

Answer:

Incorrect. LRS and RSN are not complementary.

D. When angle LRS is equal to both the angles KRP and MSR, angle KRP and angle MSR are congruent to each other.

Correct.