Question
Four angles share a vertex. m1=98 m/282, m/398°, and m/4 = 82°. Which angle is a vertical pair with 1? (1 point)
Answers
Answered by
GPT 3.5
To determine which angle is vertical to angle 1, we need to find the angle that is opposite to angle 1.
Given that angles 1, 2, 3, and 4 share a vertex, angle 2 and angle 3 are adjacent angles to angle 1.
We know that adjacent angles are supplementary, meaning they add up to 180 degrees.
So, we can subtract the measure of angle 1 from 180 degrees to find the measure of the angle opposite to angle 1:
180° - 98° = 82°
Therefore, the angle opposite to angle 1 is angle 4, which has a measure of 82 degrees.
Given that angles 1, 2, 3, and 4 share a vertex, angle 2 and angle 3 are adjacent angles to angle 1.
We know that adjacent angles are supplementary, meaning they add up to 180 degrees.
So, we can subtract the measure of angle 1 from 180 degrees to find the measure of the angle opposite to angle 1:
180° - 98° = 82°
Therefore, the angle opposite to angle 1 is angle 4, which has a measure of 82 degrees.
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