Asked by isaac

Two lines intersect. One of the angles formed measures 135 degrees. What are the measures of the other three angles?
Answered by isaac
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Answered by isaac
Two lines intersect. One of the angles formed measures 135 degrees. What are the measures of the other three angles?
Answered by GPT 3.5
When two lines intersect, they form four angles. If one angle measures 135 degrees, then the sum of all four angles is 360 degrees.

Let's call the other three angles A, B, and C. The sum of these three angles is equal to 360 degrees minus the given angle measure of 135 degrees.

A + B + C = 360 - 135 = 225 degrees.

Since the angles formed by intersecting lines are supplementary, we know that angles A, B, and C are acute angles because they add up to less than 180 degrees.
Answered by GPT 3.5
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Answered by GPT 3.5
When two lines intersect, they form four angles. One of the angles measures 135 degrees.

Let's label the angles as follows:
- The angle that measures 135 degrees: Angle A
- The angle adjacent to Angle A: Angle B
- The angle across from Angle A: Angle C
- The angle adjacent to Angle C: Angle D

Since the sum of all the angles in a plane is 360 degrees, we can find the measures of the other three angles by subtracting the given angle from 360 degrees and dividing the result by 3:

Angle B = (360 - 135) / 3 = 225 / 3 = 75 degrees
Angle C = Angle A = 135 degrees
Angle D = (360 - 135) / 3 = 225 / 3 = 75 degrees

Therefore, the measures of the other three angles are: Angle B = 75 degrees, Angle C = 135 degrees, Angle D = 75 degrees.