Question

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

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. Let's assume the triangle formed by the angles. The exterior angle of the triangle is \(134^{\circ}\), and one of the non - adjacent interior angles is \(35^{\circ}\), and the other is \(x\). So, \(134^{\circ}=35^{\circ}+x\).

Step2: Solve for \(x\)

We can solve the equation \(134 = 35+x\) for \(x\) by subtracting \(35\) from both sides. \(x=134 - 35\).
\[x = 99^{\circ}\]

Step3: Find \(4x\)

Now that we know \(x = 99^{\circ}\), we find \(4x\) by multiplying \(x\) by \(4\). \(4x=4\times99^{\circ}\).
\[4x = 396^{\circ}\]

Answer:

\(396\)