Question

ee ma lt.4.10 supplementary angles include an obtuse angle. this is a(n) statement. i can by using

Explanation:

Step1: Recall definition of supplementary angles

Supplementary angles are two angles whose sum is 180 degrees.

Step2: Analyze angle - types in supplementary - angle pairs

An obtuse angle is greater than 90 degrees but less than 180 degrees. If one angle in a pair of supplementary angles is obtuse (say \(x>90^{\circ}\)), then the other angle \(y = 180 - x\), and \(y<90^{\circ}\) (acute). So, supplementary angles can have an obtuse - angle. The statement "Supplementary angles include an obtuse angle" is a true statement. We can justify this by using the definition of supplementary angles.

Answer:

True; justify; the definition of supplementary angles