Question

check for understanding: constructing angles
not graded
directions
answer the question below to check your understanding and move forward in the course! this quiz is not graded.
∠1 and ∠2 are supplementary. ∠3 and ∠4 are complementary. mark always true, sometimes true, or never true for the following statement.
statement: ∠1 is congruent to ∠2. ∠3 is congruent to ∠4.
select the correct answer
never true
always true
sometimes true

Explanation:

Step1: Recall angle - relationship definitions

Supplementary angles add up to 180°. Complementary angles add up to 90°.

Step2: Analyze supplementary angles

For supplementary angles ∠1 and ∠2, ∠1+∠2 = 180°. They are congruent (∠1 = ∠2) when ∠1=∠2 = 90°. In other cases, they are not congruent.

Step3: Analyze complementary angles

For complementary angles ∠3 and ∠4, ∠3 + ∠4=90°. They are congruent (∠3 = ∠4) when ∠3=∠4 = 45°. In other cases, they are not congruent.

Answer:

Sometimes true