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a side of the triangle below has been extended to form an exterior angl…

Question

a side of the triangle below has been extended to form an exterior angle of 70°. find the value of x.

Explanation:

Step1: Recall exterior - angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
So, $70^{\circ}=x^{\circ}+48^{\circ}$.

Step2: Solve for $x$

Subtract $48^{\circ}$ from both sides of the equation: $x = 70 - 48$.

Answer:

$22$