Question

Your friend claims it is possible for a straight angle to consist of two obtuse angles. Is your friend correct and why?Yes. Each obtuse angle can be any value over 90', so theircombined measure could equal 180°No. Because each obtuse angle has to be greater than 90°,their combined measure would be greater than 180°No. Because an obtuse angle is less than 90°, the combinedmeasure of two obtuse angles must be less than 180°Yes. One obtuse angle can be greater than 90° while theother is less than 90', so their combined measure couldequal 180

Answer 1

A straight angle cannot consist of two obtuse angles because the sum of two obtuse angles would be greater than 180°, and a straight angle is exactly 180°.

Step-by-step explanation:

Is your friend correct in saying that a straight angle can consist of two obtuse angles? No, your friend is not correct. An obtuse angle is one that is greater than 90° but less than 180°. A straight angle is exactly 180°. Therefore, if you have two obtuse angles, each being greater than 90°, their sum will always be greater than 180°, resulting in more than a straight angle.

Answer 2

The claim is that it is possible for a straight angle to consist of two obtuse angles.

A straight angle has a measure of 180 degrees.

An obtuse angle has a measure that is larger than 90 degrees.

Then, two obtuse angles will have a measure larger than 2*90=180.

So it is impossible for two obtuse angles to form a straight angle.

Answer: No. Because each obtuse angle has to be greater than 90°, their combined measure would be greater than 180°.