Lacoreya123
Lacoreya123 Lacoreya123
  • 04-04-2016
  • Mathematics
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if a angle is 4 times bigger than its supplement what will its measure be

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meerkat18
meerkat18 meerkat18
  • 04-04-2016
Supplementary angles mean that two angles equal to 180°.

Let us assume the 2 angles are angle A and angle B.

Angle A is 4 times bigger than Angle B, the supplement.

Let Angle B be represented by x.

Angle A is 4x ; Angle B is x.

4x + x = 180°
5x = 180°
x = 180°/5
x = 36°  This is the measure of angle B.

4x = 4(36°) = 144° This is the measure of angle A.

4x + x = 180°
144° + 36° = 180°
180° = 180°
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