Is it possible for a triangle to have angle measures in an extended ratio of 1:4:7? If so, find the three angle measures. If not, explain why it is not possible. Thank You.

Question

wwb00 · Answer

Please Help Me. I will give a medal for whoever helps me.

thesmartone · Answer

if an a triangle has 180 degrees, agree?

wwb00 · Answer

Yes

wwb00 · Answer

Could all of the angles be multiples of 15?

thesmartone · Answer

lets find out

angles are in a ratio of 1:4:7

So

1x + 4x + 7x = 180

can you solve for x?

wwb00 · Answer

The first could be 15 then the second 60 and the last 105, so x is 15

wwb00 · Answer

Thanks. I thought the problem had something more do do with the relationships between the angles more than all of the angles adding to 180 degrees

thesmartone · Answer

Good job! :)