Question

#4.) list all congruent sides or angles based on the diagrams annotations.
**#5.) list all congruent sides or angles based on the above diagrams annotations.
*#6.) list all congruent sides or angles based on the above diagrams annotations.
**#7.) (q1 review) determine the sum of x and y in the diagram below.

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, \(y + 23=63\) and \(2x-17 = 63\).
For \(y + 23=63\), subtract 23 from both sides: \(y=63 - 23\).
For \(2x-17 = 63\), add 17 to both sides: \(2x=63 + 17\), then divide by 2: \(x=\frac{63 + 17}{2}\).

Step2: Calculate \(y\) and \(x\) values

For \(y\): \(y = 63-23=40\).
For \(x\): \(2x=80\), so \(x = 40\).

Step3: Calculate \(x + y\)

\(x + y=40+40\).

Answer:

\(80\)