Question

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g - 4.1 - 4.3 congruent triangles
100% credit until: december 12 at 11:59 pm
grade: 82%
(level 2)
exterior angles (triangle)
interior and exterior triangle angles
properties of isosceles triangles
scientific calculator
graphing calculator
answer attempt 1 out of 2
a side of the triangle below has been extended to form an exterior angle of 144°. find the value
of x.
144°
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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. In a right - triangle (one of the interior angles is \(90^{\circ}\)), if the exterior angle is \(144^{\circ}\), and let the unknown non - right interior angle be \(x\).
We know that \(144=x + 90\).

Step2: Solve the equation for \(x\)

Subtract \(90\) from both sides of the equation \(144=x + 90\).
\(x=144−90\).

Answer:

\(54\)