Question

Help Please!!! The two equal angles in an isosceles triangle are each 21 degrees smaller than the third angle. What is the measure of each angle?

Answer 1

let x = base angles (the 2 equal angles) and y = vertex angle

so because "The two equal angles in an isosceles triangle are each 21 degrees smaller than the third angle", we know that

x = y - 21

All angles must add to 180 degrees, so

x+x+y = 180

and we can plug in x = y - 21 to get

x+x+y = 180

(y-21)+(y-21)+y = 180

3y - 42 = 180

Solve for y. Then use this to find x

Answer 2

Thank you very much!

Answer 3

yw