Question

note: angles not necessarily drawn to scale.
x=◻°

Explanation:

Step1: Recall the sum of angles around a point

The sum of angles around a point \( A \) is \( 360^{\circ} \). But since \( EAD \) is a straight line (a straight - line angle is \( 180^{\circ} \)), we consider the angles \( \angle EAB+\angle BAC+\angle CAD = 180^{\circ}\) (because \( E, A, D \) are collinear).

Step2: Substitute the known values into the angle - sum formula

We know that \( \angle EAB = 100^{\circ}\) and \( \angle CAD=20^{\circ}\). Let \( \angle BAC=x^{\circ}\).
Using the formula \( \angle EAB+\angle BAC+\angle CAD = 180^{\circ}\), we substitute the values: \(100 + x+20=180\).

Step3: Solve the equation for \( x \)

Simplify the left - hand side of the equation: \(x + 120=180\).
Subtract 120 from both sides of the equation: \(x=180 - 120\).

Answer:

\(60\)