Question

find the measure of 4x. 135° 39° m 4x = □°

Explanation:

Step1: Use the property of vertical - angles

The angle vertical to the angle with measure $135^{\circ}$ also has a measure of $135^{\circ}$.

Step2: Use the angle - sum property of a triangle

In the triangle formed, the sum of the interior angles of a triangle is $180^{\circ}$. Let the angle vertical to $135^{\circ}$ be one angle of the triangle, the given $39^{\circ}$ angle be another, and $x$ be the third. So, $135 + 39+x=180$.

Step3: Solve for $x$

$174 + x=180$, then $x = 180 - 174=6$.

Step4: Find the measure of $4x$

Multiply $x$ by 4. Since $x = 6$, then $4x=4\times6 = 24$.

Answer:

$24$