Question

The angles of a triangle are equal to x, x+4 and 20x. What is the measure of the largest angle of the triangle?

Answer 1

160°

Explanation:

The angle sum theorem tells you the sum of angles in a triangle is 180°. The sum of angles in the given triangle is ...

x + (x +4) + 20x = 180

22x +4 = 180 . . . . . . . . . . collect terms

22x = 176 . . . . . . . . . . subtract 4

x = 8 . . . . . . . . . . . divide by 22

20x = 160 . . . . find the largest angle

The measure of the largest angle is 160°.