Question

angles 1 and 2 can be described as ...
○ two complementary angles that equal 90 degrees
○ two supplementary angles that equal 180 degrees
○ two complementary angles that equal 180 degrees
○ two supplementary angles that equal 90 degrees

Explanation:

Step1: Recall angle definitions

Complementary angles sum to \(90^\circ\), supplementary angles sum to \(180^\circ\). From the diagram, \(\angle1\) and \(\angle2\) form a straight line (a straight angle is \(180^\circ\)), so their sum is \(180^\circ\).

Step2: Evaluate options

• Option 1: Complementary (sum \(90^\circ\)) – incorrect, as their sum is \(180^\circ\).
• Option 2: Supplementary (sum \(180^\circ\)) – matches the diagram (they form a straight line, so sum to \(180^\circ\)).
• Option 3: Complementary and sum \(180^\circ\) – contradictory, complementary sums to \(90^\circ\).
• Option 4: Supplementary and sum \(90^\circ\) – contradictory, supplementary sums to \(180^\circ\).

Answer:

B. two supplementary angles that equal 180 degrees