Start by finding the value of y. What is the relationship between the angles that measure 56^(∘) and (3y-11)^(∘)?
x=31
y=45
Practice makes perfect
Let's start by finding the value of y. Then we will use it to find the value of x.
Value of y
To find the value of y, we need to know the relationship between the angles that measure (3y-11)^(∘) and 56^(∘). Let's analyze the given diagram.
Notice that these are supplementary angles. Therefore, the sum of these angles equals 180^(∘).
56+(3y-11)=180
Now we can solve the above equation for y.
Now we can find the value of x. We need to find the relationship between the angle that measures 4x^(∘) and the angle which measures 56^(∘).
The angles with measures 56^(∘) and 4x^(∘) are supplementary angles. This means that the sum of their measures is 180^(∘).
4x+56=180
Finally we can solve the above equation for x.
