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use the angle relationships shown 135° 3x° 12 ______ = 135 x = ______

Question

use the angle relationships shown
135°
3x°
12
______ = 135
x = ______

Explanation:

Step1: Identify angle - relationship

The two angles shown are vertical angles. Vertical angles are equal. So, $3x = 135$.

Step2: Solve for x

Divide both sides of the equation $3x = 135$ by 3. We get $x=\frac{135}{3}$.

Answer:

$x = 45$