Q:

2. Find the value of x and y.(2x +7) degrees(12y + 1) degrees(3x - 7) degrees

Accepted Solution

A:
Hey!------------------------------------------------We can use 2x + 7 = 3x - 7 to solve for the corresponding measures. Let's solve for x:2x + 7 = 3x - 72x + 7 - 2x = 3x - 7 - 2x7 = x - 77 + 7 = x - 7 + 714 = x------------------------------------------------We can use (2x + 7) + (12y + 1) = 180 to solve for the straight angle.Substitute for x(2(14) + 7) + (12y + 1) = 180(28 + 7) + (12y + 1) = 18035 + 12y + 1 = 180Now solve for y:36 + 12y = 18036 + 12y - 36 = 180 - 3612y = 14412y/12 = 144/12y = 12------------------------------------------------Now we can solve for all the angles.(2x + 7) = 35°(12y + 1) = 145°(3x - 7) = 35°------------------------------------------------Hope This Helped! Good Luck!