Question

in the figure below, m∠1 = 98° and m∠2 = 54°. find m∠qpr. m∠qpr = °

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°. At point P, we know two of the angles and want to find ∠QPR. Let ∠QPR = x. We know that the sum of the three angles ∠1, ∠2 and x is 360° since they are angles around a point.

Step2: Set up the equation

x+98° + 54°=360°.

Step3: Solve for x

First, add 98° and 54°: 98°+54° = 152°. Then, the equation becomes x + 152°=360°. Subtract 152° from both sides of the equation: x=360° - 152°. So, x = 208°.

Answer:

208°