Question

which angles are supplementary to each other? ∠3 and ∠4 ∠2 and ∠1 ∠4 and ∠1 ∠5 and ∠1

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees.

Step2: Analyze angle - pairs

• For \(\angle3\) and \(\angle4\), they form a right - angle (marked as 90 degrees), so \(\angle3+\angle4 = 90^{\circ}\), not supplementary.
• For \(\angle2\) and \(\angle1\), they do not form a straight - line pair.
• For \(\angle4\) and \(\angle1\), they do not form a straight - line pair.
• For \(\angle5\) and \(\angle1\), they form a linear pair. A linear pair of angles is supplementary since the sum of angles on a straight line is 180 degrees.

Answer:

\(\angle5\) and \(\angle1\)