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The problem involves a geometric figure with some angles labeled, and you are asked to calculate a specific angle.

### Given information:
- \( AB \parallel CD \)
- \( AC = BD \)
- \( \angle ADB = 80^\circ \)
- \( \angle CAD = 20^\circ \)

We need to find the value of \( \angle ADC \).

### Step-by-step solution:
1. Since \( AB \parallel CD \), \( \angle ADB = \angle DAC = 80^\circ \) by alternate interior angles.

2. In triangle \(

In the figure, AB is parallel to CD, AC = BD, angle ADB = 80°, and angle CAD = 20°. What is the value of angle ADC?

Solve the geometric problem where AB is parallel to CD, AC = BD, angle ADB = 80°, and angle CAD = 20°. Learn how to use the Alternate Interior Angles Theorem and the sum of angles in a triangle to find the value of angle ADC. Suitable for students in Grades 9-11.

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