Answer:
a. The value of x is [tex]38^{o}[/tex].
b. The value of y is [tex]25^{o}[/tex].
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 = [tex]38^{o}[/tex]
b. Sum of angles on a straight line = [tex]180^{o}[/tex]
So that,
(4y - 1) + (3x - 33) = [tex]180^{o}[/tex]
But,
( 3x - 33) = (3x38 - 33)
= 114 - 33
= [tex]81^{o}[/tex]
(4y - 1) + [tex]81^{o}[/tex] = [tex]180^{o}[/tex]
4y - 1 = [tex]180^{o}[/tex] - [tex]81^{o}[/tex]
= [tex]99^{o}[/tex]
4y = [tex]99^{o}[/tex] + 1
= [tex]100^{o}[/tex]
y = [tex]\frac{100}{4}[/tex]
= [tex]25^{o}[/tex]
y = [tex]25^{o}[/tex]
The value of x is [tex]38^{o}[/tex], and y is [tex]25^{o}[/tex].
