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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?

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 class=

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akposevictor

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°

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