johnathanvega05 johnathanvega05
  • 21-10-2020
  • Mathematics
contestada

Two angles are complementary. One angle is twice the size of the other. The bigger angle measures

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LadyStrange
LadyStrange LadyStrange
  • 21-10-2020

Sum of two angles that are complementary = 90°

Let the smaller angle be x .

Then the larger angle = 2x

Let us make an equation to find the measure of both the angles :-

[tex]2x + x = 90[/tex]

[tex]3x = 90[/tex]

[tex]x = \frac{90}{3} [/tex]

[tex]x = 30[/tex]

Which means :-

Measure of the small angle = 30°

Measure of the larger angle = 2 × 30 = 60°

Therefore , the measure of the bigger angle is 60° .

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