Question

1. 50° 85° 53 + x

Explanation:

Step1: Use triangle angle sum theorem

The sum of interior angles of a triangle is \(180^{\circ}\). So, \(50^{\circ}+85^{\circ}+(53 + x)^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side

\(50 + 85+53+x=180\). First, calculate \(50 + 85+53\): \(50+85 + 53=188\). Then the equation becomes \(188+x=180\).

Step3: Solve for \(x\)

Subtract \(188\) from both sides: \(x=180 - 188\).

Answer:

\(x=- 8\)