The measure of each angle in the diagram are 4y° = -82°, (6y - 41)° = 164°, (3x + 2)° = 98°, 2(x + 17)°= 98
What are vertical angles?
Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.
Two lines are intersecting each other at a point making two pairs of vertical angles.
The pair of vertical angles are equal in measure.
4y° = (6y + 41)° [Vertical angles]
4y - 6y = 41
2y = -41-----(1)
(3x + 2)° = 2(x + 17)° [Vertical angles]
(3x + 2)° = 2x + 34°
x = 32 ------(2)
Therefore, 4y° = -82°
(6y - 41)° = 164°
(3x + 2)° = 98°
2(x + 17)°= 98
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