Question

xy using algebra find the value of x. (review 4.1) 52. 4x° 70° (10x + 22)°

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.
So, \(10x + 22=4x + 70\).

Step2: Solve the equation for \(x\)

Subtract \(4x\) from both sides:
\(10x-4x + 22=4x-4x + 70\)
\(6x+22 = 70\)
Subtract \(22\) from both sides:
\(6x+22 - 22=70 - 22\)
\(6x=48\)
Divide both sides by \(6\):
\(x=\frac{48}{6}\)

Answer:

\(x = 8\)