7. Find the specified value.
(2x +5)
a. Using the figure to the right, find the value of x.

b. Using the figure to the right find the value of y.

a. The value of x is .

b. The value of y is .

Step-by-step explanation:

a. Applying the vertically opposite principle,

(2x + 5) = (3x - 33)

2x + 5 = 3x - 33

33 + 5 = 3x - 2x

38 = x

⇒ x =

b. Sum of angles on a straight line =

So that,

(4y - 1) + (3x - 33) =

But,

( 3x - 33) = (3x38 - 33)

               = 114 - 33

               =

(4y - 1) + =

4y - 1 = -

         =

4y = + 1

    =

y =

  =

y =

The value of x is , and y is .