## Kagome_gurl8 2 years ago Find the value of x. The diagram is not to scale

1. Kagome_gurl8

2. ajprincess

|dw:1353828858730:dw| Since AB=AC triangle ABC is an isosceles triangle. So y=5x-40 y and 5x are supplementary angles y+5x=180 5x-40+5x=180 10x-40=180 Can u find x @Kagome_gurl8?

being an isosceles triangle, <SRT = <STR = 5x-40 Now, <STR + <STU = 180 degrees - they both form a linear angle. => 5x-40 + 5x = 180 , Solve it for x now :)

4. zonazoo

well the base angles of an isosceles triangle are equal, so since that angle in the bottom left of the triangle is 5x - 40, then so is the angle on the bottom right... and the angle on the bottom right and the angle just outside the triangle are what we call a linear pair, and a linear pair are two angles that add up to 180 degrees, and just as shown above, you add those two angles together to get 180 and solve for x.

5. Kagome_gurl8

I got x=22, is that correct?

6. zonazoo

7. zonazoo

yes you are right , sorry

Yep, you are correct !

9. Kagome_gurl8

Thank you all very much.....