Question

what is m∠hfi?
m∠hfi = \boxed{}°
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Explanation:

Step1: Recall the total degrees in a circle

The total degrees around a point (in a circle) is \(360^{\circ}\).

Step2: Set up the equation

Let \(m\angle HFI = x\). Then \(50^{\circ}+120^{\circ}+70^{\circ}+x = 360^{\circ}\).

Step3: Simplify the left - hand side

\(50 + 120+70+x=(50 + 120+70)+x=240 + x\).

Step4: Solve for \(x\)

\(240+x = 360\), so \(x=360 - 240\).

Answer:

\(120\)