Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for x. (3x + 27)° 81° x =

Question

solve for x.
(3x + 27)°
81°
x =

Explanation:

Step1: Identify angle - relationship

The angles $(3x + 27)^{\circ}$ and $81^{\circ}$ are corresponding angles. Corresponding angles formed by two parallel lines and a transversal are equal.
So, $3x+27 = 81$.

Step2: Solve the equation for x

Subtract 27 from both sides of the equation:
$3x=81 - 27$.
$3x = 54$.
Then divide both sides by 3:
$x=\frac{54}{3}$.

Answer:

$x = 18$