Question

If CE||DB, what is the value of x:

• A. \(45\degree\)
• B. \(30\degree\)
• C. \(75\degree\)
• D. \(85\degree\)

Answer 1

The Correct Option is D

Given:
If CE || DB, this indicates that CE and DB are parallel lines.
When a transversal crosses parallel lines, corresponding angles are equal. In this scenario, angle DCB is a corresponding angle to angle ECD because they are both at the intersection of the transversal with the parallel lines.
Let's denote angle DCB by \( x \) and angle ECD by \( y \). Since DCB and ECD are corresponding angles:
\[ x = y \]
From the problem, it's given that \( x = 85^\degree \).
Because corresponding angles are equal and CE || DB:
The value of \( x \) is \( x = 85^\degree \).