Chapter 8.5, Problem 52E

To determine

Whether your friend is correct or not.

Answer to Problem 52E

No, he is not correct.

Explanation of Solution

Given:

A straight angle consist of two obtuse angle.

Solution:

From the given description,

Obtuse angle is categorized as an angle which is greater than 90 degree but less than 180 degree.

So,

As we know that the value of straight angle is 180-degree.

Therefore, straight angle cannot contain two obtuse angles.

For example:

If we take the two smallest obtuse angle, the sum of these obtuse angle is greater than straight angle.

  $91°+91°=182°$