Question

Which labeled angle has the greatest measure? The diagram is not to scale.


A.

B.

C.

Answer 1

Which labeled angle has the greatest measure? The diagram is not to scale.


A. <1

B. <2

C. <3

Answer 2

i think it is C, 3. not sure, but I vaguely remember exterior angles being larger than interior.

Answer 3

thank you so much!

Answer 4

yw, maybe benjaminEE can verify if its correct or not.

Answer 5

There is a theorem that states that
Angle 3 = angle 1 + angle 2
Which implies that Angle 3 is bigger than angle 1 and angle 2 (but equal the their sum)
As @tomo said :)

Answer 6

thank you both very much

Answer 7

may I ask you another question?

Answer 8

Two sides of a triangle have lengths 6 and 17. Which expression describes the length of the third side?
A. at least 11 and less than 23

B. at least 11 and at most 23

C. greater than 11 and at most 23

D. greater than 11 and less than 23

Answer 9

would A be correct on this one?

Answer 10

that one im not sure about. I think @BenjaminEE might be able to help you better with that.

Answer 11

I think it is D- someone else explained that it has to be a definite greater than and less than, not at least

Answer 12

Well the maximum length is 6+17 = 23. But I'm not sure about the minimum without using too much trigonometry.

Answer 13

To be more clear: Less than 23

Answer 14

thank you =)