Question

52° 2r° 64°

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, 52°+2r° + 64°=180°.

Step2: Combine like - terms

52 + 64+2r=180, which simplifies to 116 + 2r=180.

Step3: Isolate the variable term

Subtract 116 from both sides: 2r=180 - 116. So, 2r=64.

Step4: Solve for r

Divide both sides by 2: r = 32.

Answer:

32