Lines that form an X shape create vertical opposite equal angles
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Alternate Angle
if the angle at a equals X then the angle at b equals X+40 and the angle at c equals X+20 the sum of the angels in a triangle is 360 degrees so: X + X+40 + X+20 = 360 3X + 60 = 360 3X = 300 X = 100.
If angle A is congruent to angle B, then angle B is congruent to angle A.If X is congruent to Y then Y is congruent to X.
x is the angle you're looking for and 3x is the angle that when added to x must total 180 degrees. Therefore the angle is 45degrees (x + 3x = 180)
The angle or arc that when added to a given angle or arc equals a right angle in measureThat is, for any angle x less than 90º, the complement of xº = (90 - x)º. For example, the complement of 15º is (90 - 15 =) 75º.Here's a related answer for free: the supplement of an angle x is 180º - x.