Question

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

Answer 1

Answers:

B. m<4 is greater than m<2

C. m<4 is greater than m<1

F. The degree measure of <4 equals the sum of the degree measures of <1 and <2

Hope that helps.

Answer 2

Options B, C and F are true.

Explanation:

A. Since in the given triangle ∠3 = 180 - (∠1 + ∠2)

Therefore this statement ∠3 = ∠1 + ∠2 is not correct.

B. Since ∠2 is an acute angle and ∠4 is an obtuse so ∠4 > ∠2 is true.

C. Since ∠1 is an acute angle angle and ∠4 is an obtuse so ∠4 > ∠1 is true.

D. This option says ∠3 > ∠2, but ∠3 > ∠2 is not clear so this option is not correct.

E. Since ∠3 = 180 - (∠1 + ∠2) and ∠3 = 180 - ∠4

So 180 - (∠1 + ∠2) = 180 - ∠4

∠1 + ∠2 = ∠4

So ∠4 ≠ ∠2 + ∠3

Therefore this option is not correct.

F. As we have seen in option E. ∠4 = ∠1 + ∠2

Therefore this option is correct.