Answer:
Step-by-step explanation:
The sum of angles that form a linear pair is 180°. If angle 1 and angle 2 are a linear pair, then the sum of both angles is equal to 180°.
angle 1 + angle 2 = 180° ... 1
If two angles are vertical angles , this means that both angles are equal. Therefore if angle 2 and angle 3 are vertical angles, then both angles are equal i. e angle 2 = angle 3 = (5y - 30)°
Given angle 1 = (3y + 10)° and angle 2 = (5y - 30)°
Substituting this angles into equation 1 to get the value of y;
(3y + 10)°+(5y - 30)° = 180°
3y+5y+10-30 = 180
8y-20 = 180
8y = 180+20
8y = 200
y = 200/8
y = 25°
To get the measure of angle 2, we will substitute y = 25° into the equation angle 2 = (5y - 30)°
angle 2 = 5(25) - 30
angle 2 = 125 - 30
angle 2 = 95°
