Question

which angles are supplementary to each other? ∠1 and ∠5 ∠5 and ∠3 ∠6 and ∠7 ∠10 and ∠1

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. Adjacent angles that form a straight - line are supplementary.

Step2: Analyze each option

• For ∠1 and ∠5: They are corresponding angles, not supplementary.
• For ∠5 and ∠3: They are neither adjacent to form a straight - line nor do they have a sum of 180 degrees in this context.
• For ∠6 and ∠7: They are adjacent angles that form a straight - line. So, ∠6+∠7 = 180 degrees.
• For ∠10 and ∠1: They are not adjacent to form a straight - line and not supplementary.

Answer:

∠6 and ∠7