Question

Which of the following statements must be true about this diagram? Check all that apply.

A) The degree measure of 24 equals the sum of the degree measures of 22 and 23.
B) ∠23 is greater than ∠22.
C) The degree measure of 24 equals the sum of the degree measures of 21 and 22.
D) The degree measure of 23 equals the sum of the degree measures of 21 and 22.
E) ∠24 is greater than ∠22.
F) ∠24 is greater than ∠21.

Answer 1

The correct statements are A) The degree measure of 24 equals the sum of the degree measures of 22 and 23 and B) ∠23 is greater than ∠22.

Step-by-step explanation:

The correct statements are A) The degree measure of 24 equals the sum of the degree measures of 22 and 23 and B) ∠23 is greater than ∠22.

To understand why statement A is true, we need to know that the sum of the angles in a triangle is always 180 degrees. Since angle 24 is part of a triangle along with angles 22 and 23, the sum of their degree measures should be 180 degrees. Therefore, statement A must be true.

To understand why statement B is true, we can compare the degree measures of angles 22 and 23 based on the diagram. We can see that angle 23 appears to be larger (greater) than angle 22. Therefore, statement B must be true.