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Select the correct answer.
Prove: If two angles are supplementary, then one of the angles must be obtuse.
Which Image provides a counterexample to this statement?

HELP Select The Correct Answer Prove If Two Angles Are Supplementary Then One Of The Angles Must Be Obtuse Which Image Provides A Counterexample To This Stateme class=

Sagot :

Answer:

I think it is B

Step-by-step explanation:

Angle AMB is not more than 90 and less than 180 degrees, and neither is angle BMC. Therefore, neither angle is obtuse.

In [tex]\angle[/tex] A, [tex]\angle[/tex] BMC is an obtuse angle.

In [tex]\angle[/tex] B, [tex]\angle[/tex] AMB is an obtuse angle.

In [tex]\angle[/tex] D, [tex]\angle[/tex] AMB is an obtuse angle.

But, in C there are two right angles

Therefore, two right angles exist supplementary.

What is a supplementary angle?

When the sum of the measures of two angles is 180°, such angles are called supplementary angles and each of them is called a supplement of the other.

Two angles exist named supplementary when their measures count up to 180 degrees. By the explanation of obtuse angles, the angles that estimate more significant than 90° exist as obtuse. If we add two obtuse angles, the sum will be more significant than 180°. It will not help the results of the supplementary angles when we add obtuse angles.

In [tex]\angle[/tex] A, [tex]\angle[/tex] BMC is an obtuse angle.

In [tex]\angle[/tex] B, [tex]\angle[/tex] AMB is an obtuse angle.

In [tex]\angle[/tex] D, [tex]\angle[/tex] AMB is an obtuse angle.

But, in C there are two right angles

The two right angles exist supplementary.

Therefore, the correct answer is option B.

To learn more about supplementary angles refer to:

https://brainly.com/question/1553934

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