The angle x, angle y, and angle 20 are the supplementary angles. Then the measure of the angle x will be 120°.
What is an angle?
The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Alternate angle - If two lines are parallel then the third line will make z -angle and z-angles are equal angles with the parallel lines.
The angle y and angle 40 are congruent, because they are alternate angles.
∠y = 40°
And the angle x, angle y, and angle 20 are the supplementary angles. Then their sum of the angles will be 180°.
∠x + ∠y + 20° = 180°
∠x + 40° + 20° = 180°
∠x + 60° = 180°
∠x = 180° - 60°
∠x = 120°
Thus, the measure of the angle x will be 120°.
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More about the angled link is given below.
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