Find x in the figure.

A picture shows a triangle with a line extending past the triangle on the top, there are 3 angles shown, the bottom left is 35 degrees, the bottom right is 40 degrees, and the top is 105 degrees. X is the last angle from the extending line, what is X?

1 answer

To find the measure of angle X, we need to use the fact that the sum of the angles in a triangle is 180 degrees.

The given angles in the triangle are 35 degrees, 40 degrees, and 105 degrees.

Therefore, the sum of these angles is 35 + 40 + 105 = 180 degrees.

Since the sum of the angles in the triangle is 180 degrees, the measure of angle X is 180 - (35 + 40 + 105) = 180 - 180 = 0 degrees.

Thus, the measure of angle X is 0 degrees.
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