Question

48° 72° 2x° x = 22 x = 26 x = 28 x = 30

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, 48°+72° + 2x°=180°.

Step2: Simplify the left - hand side

48 + 72+2x=120 + 2x. So, 120 + 2x=180.

Step3: Solve for x

Subtract 120 from both sides: 2x=180 - 120, 2x=60. Then divide both sides by 2: x = 30.

Answer:

x = 30