The angles of a triangle are in the ratio 1:3:16. Find the measurement of the largest of three angles of triangle.
Choose the correct choice from the following options
A) 90°	B) 100°	C) 120°	D) 144°	E) 160°
If the ratio of the three angles is 1:3:16, then the measures of these angles can be written as x, 3x and 16x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence   x + 3x + 16x = 180   Solve for x   20x = 180   x = 9   The measures of the three angles are   x = 9°   3x = 3 ×9 = 27°   16x = 16 × 9 = 144°   144°
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The angles of a triangle are in the ratio 1:3:16. Find the measurement of the largest of three angles of triangle.