The angles of a triangle are in the ratio 1:6:8. Find the measurement of the largest of three angles of triangle.  Pick one
A) 96°  B) 100°  C) 120°  D) 140°  E) 160°
If the ratio of the three angles is 1:6:8, then the measures of these angles can be written as x, 6x and 8x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence   x + 6x + 8x = 180   Solve for x   15x = 180   x = 12   The measures of the three angles are   x = 12°   6x = 6 × 12 = 36°   8x = 8 × 12 = 96°   96°
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The angles of a triangle are in the ratio 1:6:8. Find the measurement of the largest of three angles of triangle.