Question

question
write the following statement as a conditional statement and determine if it is true or false.
two angles are complementary if they add up to equal 90 degrees.
answer attempt 1 out of 3
if , then .

Explanation:

Step1: Identify Hypothesis and Conclusion

The statement "Two angles are complementary if they add up to equal 90 degrees" has the hypothesis (the part after "if"): "two angles add up to equal 90 degrees" and the conclusion: "two angles are complementary".

Step2: Form Conditional Statement

A conditional statement is in the form "If [hypothesis], then [conclusion]". So substituting the hypothesis and conclusion, we get: If two angles add up to equal 90 degrees, then the two angles are complementary.

Step3: Determine Truth Value

By the definition of complementary angles, two angles are complementary if their sum is 90 degrees. So this statement follows the definition, hence it is true.

Answer:

If two angles add up to equal 90 degrees, then the two angles are complementary. The statement is true.