gb26978
Answered

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

Sagot :

sqdancefan

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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