Question

question 4 (1 point) (a) ? =

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. Let the third - interior angle of the triangle be $x$. Then $x + 41^{\circ}+61^{\circ}=180^{\circ}$.

Step2: Solve for the third - interior angle

$x=180^{\circ}-(41^{\circ} + 61^{\circ})=180^{\circ}-102^{\circ}=78^{\circ}$.

Step3: Use the linear - pair property

The unknown exterior angle and the third - interior angle $x$ form a linear pair. A linear pair of angles sums to 180°. Let the exterior angle be $y$. Then $y + x=180^{\circ}$. Since $x = 78^{\circ}$, $y=180^{\circ}-78^{\circ}=102^{\circ}$.

Answer:

$102^{\circ}$