Answer:
Please check the explanation.
Explanation:
We know that when two lines intersect we get a pair of opposite angles.
- These pair of opposite angles are called vertical angles.
According to the vertical angle theorem, if two angles are vertical then the measure of each angle will be the same i.e. the angles will be congruent.
Identifying angle types:
From the figure, it is clear that
The angle (9y+7)° and (2y+98)° are opposite angles.
Hence,
- (9y+7)° and (2y+98)° are the vertical angles.
Determining the equation
As the vertical angles are congruent, so
(9y+7)° = (2y+98)°
Steps solving the equation
We know the equation of vertical angles (9y+7)° and (2y+98)° such as
(9y+7)° = (2y+98)°
solving for y
9y - 2y = 98 - 7
7y = 91
divide both sides by 7
7y/7 = 91/7
y = 13
Therefore, the value of y = 13