∠BAD ≅ ∠EDA because they are Alternate Interior Angles
m∠BAD = m∠EDA = 72°
∠B ≅ ∠E therefore m∠B = m∠E = 65°.
AB = AC. Therefore ΔABC is an isosceles triangle. Hence m∠B = m∠C = 65°.
We know: the sum of the measures of the angles in a triangle equals 180°.
Therefore we have the equation:
m∠BAC + m∠B + m∠C = 180°
m∠BAC + 65° + 65° = 180°
m∠BAC + 130° = 180° subtract 130° from both sides
m∠BAC = 50°
m∠BAD = m∠BAC + x°
72° = 50° + x° subtract 50° from both sides
22° = x°
x° = 22°
