Question

not quite. if the exterior angle is 98°, and the exterior and interior angles form a straight line (180°), what calculation would give you the interior angle?

Explanation:

Step1: Recall angle - sum property

The sum of an exterior angle and its corresponding interior angle of a polygon is 180°.
Let the interior angle be $x$ and the exterior angle be $y$. We know that $x + y=180^{\circ}$.

Step2: Substitute the value of the exterior angle

Given $y = 98^{\circ}$. Substitute $y$ into the equation $x + y=180^{\circ}$. So $x=180^{\circ}-y$.

Step3: Calculate the interior angle

$x = 180^{\circ}-98^{\circ}=82^{\circ}$

Answer:

$82^{\circ}$