The angles of a triangle are equal to x, x+4 and 20x. What is the measure of the largest angle of the triangle?
1 answer:
Answer:
160°
Step-by-step 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°.
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