Answer:
10y° = 130°
(4x - 22)° = 50°
(7x + 4)° = 130°
(3y + 11)° = 50°
Explanation:
From the picture attached,
Two lines are intersecting each other at a pint making two pairs of vertical angles.
By definition, pair of vertical angles are equal in measure.
10y° = (7x + 4)° [Vertical angles]
-7x + 10y = 4 -----(1)
(3y + 11)° = (4x - 22)° [Vertical angles]
-4x + 3y = -33 ------(2)
[Equation (1) × 3] - [Equation (2) × 10]
(-21x + 30y) - (-40x + 30y) = 12 + 330
-21x + 40x = 342
19x = 342
x =
From equation (1),
-7(18) + 10y = 4
-126 + 10y = 4
10y = 130
y = 13
Therefore, 10y° = 130°
(4x - 22)° = 50°
(7x + 4)° = 130°
(3y + 11)° = 50°