Question

what is the missing angle in the triangle?

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°.

Step2: Set up the equation

Let the missing angle be $x$. Then $x + 22.17^{\circ}+48.73^{\circ}=180^{\circ}$.

Step3: Solve for the missing angle

$x=180^{\circ}-(22.17^{\circ}+48.73^{\circ})$. First, calculate $22.17^{\circ}+48.73^{\circ}=70.9^{\circ}$. Then $x = 180^{\circ}-70.9^{\circ}=109.1^{\circ}$.

Answer:

$109.1^{\circ}$