Question

find the measure of ∠x. 134° 35° x m∠x = °

Explanation:

Step1: Find the non - labeled angle adjacent to 134°

The non - labeled angle adjacent to 134° and 134° form a linear pair. A linear pair of angles sums to 180°. So the non - labeled angle is $180^{\circ}- 134^{\circ}=46^{\circ}$.

Step2: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. In the triangle with angles $46^{\circ}$, $35^{\circ}$ and $x$. So $x = 180^{\circ}-(46^{\circ}+35^{\circ})$.
$x=180^{\circ}-81^{\circ}=99^{\circ}$.

Step3: Find the measure of 4x

Multiply the value of $x$ by 4. $4x = 4\times99^{\circ}=396^{\circ}$.

Answer:

$396$