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2.2 | parallel & perpendicular | hw #2 find the value of x. (3x + 33)° …

Question

2.2 | parallel & perpendicular | hw #2
find the value of x.
(3x + 33)°
78°
x =

Explanation:

Step1: Identify angle - relationship

Assume the two angles are corresponding (or alternate - interior/exterior) angles due to parallel lines. So, $3x + 33=78$.

Step2: Solve the equation for x

Subtract 33 from both sides: $3x=78 - 33$.
$3x = 45$.
Then divide both sides by 3: $x=\frac{45}{3}$.

Answer:

$15$