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19) find x. 50° 70°

Question

  1. find x. 50° 70°

Explanation:

Step1: Recall the total degrees in a circle

A full circle has \(360^{\circ}\).

Step2: Set up the equation

We have \(x + 90^{\circ}+90^{\circ}+50^{\circ}+70^{\circ}=360^{\circ}\).
Simplify the left - hand side: \(x+(90 + 90+50 + 70)^{\circ}=x + 300^{\circ}\).
So, \(x+300^{\circ}=360^{\circ}\).

Step3: Solve for \(x\)

Subtract \(300^{\circ}\) from both sides: \(x=360^{\circ}-300^{\circ}\).

Answer:

\(60^{\circ}\)