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if angle A and angle B are complementary angles and measure angle A =2 measure angle B find measure angle A and measure angle B

if angle A and angle B are complementary angles and measure angle A 2 measure angle B find measure angle A and measure angle B class=

Respuesta :

cdw2014
If A = 2B, Then A is twice as much as B

A and B are complementary, meaning they add to 90.

So the answer is B) 60 and 30
GabrieII

Answer:

m∠A = 60°

m∠B = 30°

Step 1: Remembering the notions

To solve this problem, we we must know that depending on the sum of the measures of two angles, the angles can be:

  • complementary - angles have togheter 90°
  • suplementary -  angles have togheter 180°

So, m∠A (a)+ m∠B (b) = 90°

We write the equation:

[tex]a + b = 90[/tex] ⇔ [tex]2b + b = 90[/tex]

Step 2: Solve the Equation

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

[tex]3b = 90[/tex]

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

[tex]b = 30[/tex]  ⇒ m∠B = 30°

[tex]a = 2\times b[/tex]

[tex]a = 2 \times 30[/tex]

[tex]a = 60[/tex]  ⇒ m∠A = 60°

Step 3: Answer the Question

We now know what m∠A = 60° and m∠B = 30°, so [B] is corect.

To learn more about the equation, check out the following questions:

  • https://brainly.com/question/22807679
  • https://brainly.com/question/24762598

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