Question

Which of the following statements is true? *
1 point
(a) Two acute angles can be supplementary.
(b) Two right angles can be supplementary.
(c) Two obtuse angles can be supplementary.
(d) One obtuse angle and one acute angle cannot be supplementary

Answer 1

Answer:

b) Two right can be supplementary

Answer 2

Answer: Option b

Step-by-step explanation:

if two angles are added and their total is 180, they are called supplementary angles.

We can take some examples and confirm the statements.

(a) Two acute angles can be supplementary.

Largest acute angle is 89

So,even if we add 89 +89 it only adds up to 178.

So, this statement is false.

(b)Two right angles can be supplementary.

A right angle is 90 degree.

90 + 90 = 180

So, this statement is true.

(c)Two obtuse angles can be supplementary.

Smallest obtuse angle is 91

Even if we add 91+91 we get 182

It surpasses 180, so it is also false.

(d)One obtuse angle and one acute angle cannot be supplementary

Smallest obtuse angle is 91

180-91 = 89

89 is the largest acute angle.

So, it can be supplementary

So this statement is also false.

As only b was true, it is the correct answer.

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