Need some help with geometry

Please check the explanation.

Step-by-step explanation:

We know that when two lines intersect we get a pair of opposite 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,

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

18

step-by-step explanation:

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