Question

determine the value of x in each isosceles triangle. x = degrees

Explanation:

Step1: Use the Hypotenuse - Leg (HL) Congruence Theorem

In right - angled triangles \( \triangle BDC\) and \( \triangle ADC\), \(BC = AC = 8\) in (given), \(CD=CD\) (common side). By the HL theorem, \( \triangle BDC\cong\triangle ADC\).

Step2: Use the property of congruent triangles

Since \( \triangle BDC\cong\triangle ADC\), the corresponding angles are equal. So, \(x = 32\).

Answer:

\(32\)