Question

In the diagram shown below, parallel lines m and n are crossed by transversals r and s. Which of the following is the sum of angles 1 and 2 pictured?

Answer 1

Answer:

3. 151°

Step-by-step explanation:

Since m and n are parallel, therefore:

m<1 + 75° = 180° (consecutive exterior angles are supplementary)

Subtract 75 from each side

m<1 = 180 - 75

m<1 = 105°

m<2 = 46° (corresponding angles are congruent)

Sum of <1 and <2 = 105° + 46° = 151°