Question

The measures of the angles of a triangle are shown in the figure below. Solve for x.

29
(x+17)
(4x+9)°

Answer 1

Three angles of the triangle:

`29`

`x + 17`

`4x + 9`

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Angle sum of triangle = 180°

`(29) + (x + 17) + (4x + 9) = 180`

`29 + x + 17 + 4x + 9 = 180`

`(29 + 17 + 9) + (4x + x) = 180`

`55 + 5x = 180`

`5x = 180 - 55`

`5x = 125`

`x = (125)/(5)`

`x = 25`

Answer 2

29+x+17+4x+9=180
Simplify equation
55+5x=180
-55 from both sides
5x=180
Now divide by x
x=25