2x° = 2(30) = 60°
(y+x)° = 90° + 30° = 120°
(y-x)° = 90 - 30 = 60°
Step-by-step explanation:
2x° and (y-x)° are vertical angles.
Vertical angles are equal.
equating both:
2x = y - x
2x+x = y
3x = y
Also 2x° + (y+x)° = 180° (angles on a straight line)
2x + x + y = 180
3x + y = 180°
recall, 3x = y
Insert the value of y in the equation: 3x + y = 180°
y + y = 180
2y = 180
y = 180/2
y = 90°
y = 3x
x = y/3 = 90/3
x = 30°
One of the angle: 2x° = 2(30) = 60°
(y+x)° = 90° + 30° = 120°
(y-x)° = 90 - 30 = 60°