Question

The sum of the angle measures of any triangle is 180 degrees. Suppose that one angle in a triangle has a degree measure of 4x+10 and another has a degree measure of 3x+5 . Write an expression for the degree measure of the third angle in the triangle. Thanks

Answer 1

4x+10 + 3x+5 +y =180

solve for y y=third angle

combine like terms

7x+15+y =180

subtract 7x+15 from each side

y = 180 -(7x+15)

y = 180 -7x-15

y = 165 -7x

The third angle equals 165-7x