The value of x in the triangle ABC is 25.
The interior angles of the triangle are given as m∠A = 3x and m∠B = 50°.
The exterior angle of the triangle is given as m∠ACD = 5x.
The sum of angle in a triangle is equals to 180 degrees. Therefore,
3x + 50 + (180 - 5x) = 180
3x + 50 - 5x + 180 = 180
3x - 5x + 50 + 180 = 180
-2x + 230 = 180
subtract 230 from both sides
-2x + 230 - 230 = 180 - 230
-2x = -50
divide both sidesby -2
-2x / -2 = -50 / -2
x = 25
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