Question

The size of the largest angle in a triangle is double the size of the smallest angle. the other angle is 20° greater than the smallest angle.

work out the size of each angle in the triangle ​

Answer 1

40, 60 and 80.

Explanation:

Let x = t he size of the smallest angle

x + 2x + x + 20 = 180 The sum of the interior angles of a triangle is 180

4x + 20 = 180 Subtract 20 from both sides

4x = 160 Divide both sides by 4

x = 40

The smallest angle is 40. The largest angle is 80. The other angle is 60. The total is 180

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