Triangle NQP is an equilateral triangle with the measure of angle N=5x-2y and the measure of angle P=x+2y. Find the values of x and y. Show all work to receive credit.

Answer 1

Since it's an equilaternal triangle you know that all angles are the same. So each angle is 60 degrees.

5x-2y = x+2y
5x-x = 2y +2y
4x=4y
x=y

so now you can use either equation

60= 5x - 2x
60= 3x
20 = x

Answer 2

thanks lena

Answer 3

hmm this is actually a weird explanation