Answer:
A. x = 15, y = 17
Step-by-step explanation:
The given figure shows us the two lines are intersecting each other.
When the two lines are intersecting each other, the opposite angles must be equal.
Using this property, we can write
7x + 7 = 112 because opposite angles are equal.
From this equation, we can find the value of x.
Subtract 7 on both sides, we get
7x + 7 - 7 = 112 - 7
7x = 105
Dividing both sides by 7, we get
7x/7 = 105/7
x = 15
The value of x = 15
Now let's find the value of y.
From the given figure 7x + 7 and 4y are supplementary angles. The supplementary angles add upto 180 degrees.
So, 7x + 7 + 4y = 180
Now plug in x = 15 in the above equation, we get
7(15) + 7 + 4y = 180
105 + 7 + 4y = 180
Now we have to solve this equation to find the value of y.
112 + 4y = 180
4y = 180 - 112
4y = 68
Dividing both sides by 4, we get
y = 17
Therefore, x = 15, y = 17
