Question

Need more help! will again fan and medal anyone who helps!!

find the value of x. This diagram is not to scale

Answer 1

not a multiple choice can you just show me how to do it here is the diagram

Answer 2

which is X, i dont see it on there

Answer 3

can either of you help @DanJS or @open_studier

Answer 4

oops hold on there's an equation

Answer 5

Given:<SRT is congruent to <STR, m<SRT=20, m<STU=4x

Answer 6

ok, you need to know that the sum of the three angles in any triangle is 180 and the sum of the angles that make up a straight line is also 180

Answer 7

Yes, I get that but how do I put that into this problem?

Answer 8

They say SRT and STR are congruent, or the same angle, and they tell you one of the values

Answer 9

okay so would 4x=140

Answer 10

Angles that make up a straight line total 180, supplimentary angles
STU + STR = 180

Answer 11

okay so instead of looking at this like a triangle I should look at this like its two angles that are supplementary?

Answer 12

you can look at it a few different ways, the short way i just did it was to realize

STU + STR = 180
20 +4x = 180
4x = 160
x = 40

Answer 13

or if you want to use the fact that all 3 angles in a triangle add to 180 you can draw this ...

Answer 14

but wouldn't it be 40+4x=180?

Answer 15

oh wait I see because your only involving one of the angles, thanks!!!