Question

A home has a triangular backyard. The second angle of the triangle is 7° more than the first angle. The third angle is 9° more than two times the first angle. Find the angles of the triangular yard

Answer 1

the sum of all three angles in a triangle is 180 degrees

let the first angle be x

if the second angle is 7 more than the first angle, the second angle is x + 7

if the third angle is 9 more than two times the first angle, the third angle is 2x + 9

sum the three angles and set the sum equal to 180

solve for x

then go back and plug that x value into each of the three angle expressions to determine the size of each angle