Question

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

Answer 1

Three angles of the triangle:

$29$

$x + 17$

$4x + 9$

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Angle sum of triangle = 180°

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

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

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

$55 + 5x = 180$

$5x = 180 - 55$

$5x = 125$

$x = \frac{125}{5}$

$x = 25$

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