Question

*PLS HELP*
Question 1:
The intersecting chair parts form four angles
List all the pairs of angles that share a ray

Question 2: Construct Arguments:
Why does the sum of all four angles measure stay the same as the chair is folded or unfolded?​

Answer 1

Question 1: The pairs of angles that share a ray are:

• 1 and 2
• 2 and 3
• 3 and 4
• 1 and 4

Question 2: m∠1 + m∠2 = 180°; m∠3 + m∠4 = 180° (straight line angles)

Therefore: m∠1 + m∠2 + m∠3 + m∠4 = 360°

What are Straight Line Angles?

• Straight line angles are angles on a straight line that share a common side or ray.
• Sum of straight line angles = 180 degrees.

Question 1:

Thus, in the diagram given, the pairs of angles that share a ray are:

• 1 and 2
• 2 and 3
• 3 and 4
• 1 and 4

Question 2:

m∠1 + m∠2 = 180° (straight line angles)

m∠3 + m∠4 = 180° (straight line angles)

Therefore: m∠1 + m∠2 + m∠3 + m∠4 = 360°

Learn more about straight line angles on:

https://brainly.com/question/24024505