paredesrachel332 paredesrachel332
  • 16-10-2020
  • Mathematics
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two angles are complementary.the measure of the larger angle is two times the measure of the smaller angle .What is the measure of each angle ?

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LadyStrange
LadyStrange LadyStrange
  • 18-10-2020

We know that :

The sum of two angles that are complementary = 90°

Smaller angle = x

Larger angle = 2x

We can make the formula as

= 2x + x = 90°

= 3x = 90°

= x = 90 ÷ 3

= x = 30

The smaller angle = x = 30°

The larger angle = 2x = 30 × 2 = 60°

Therefore , the measure of each of the angles are 30° and 60° .

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