Respuesta :

renknee

Answer:

18°

Step-by-step explanation:

1. ∠A and ∠B are complementary angles, so they add up to 90°.

  • This means that 2x - 4 + 5x + 17 = 90

2. To find the measure of ∠A, we first have to solve for x.

3. (Solving)

Step 1: Simplify both sides of the equation.

  • [tex](2x+5x)+(-4+17)=90[/tex]
  • [tex]7x+13 = 90[/tex]

Step 2: Subtract 13 from both sides.

  • [tex]7x + 13 - 13 = 90 - 13[/tex]
  • [tex]7x = 77[/tex]

Step 3: Divide both sides by 7.

  • [tex]\frac{7x}{7} = \frac{77}{7}[/tex]
  • [tex]x = 11[/tex]

4. Now that we know x = 11, let's plug that value into (2x - 4) to find the measure of Angle A.

  • [tex]2(11)-4[/tex]
  • [tex]22-4[/tex]
  • [tex]18[/tex]

Therefore, the measure of ∠A = 18°.

fnej

Answer:

m<A = 18

Step-by-step explanation:

Since <A and <B are complementary angles, that just means those 2 angles combined equal 90:

<A + <B = 90

2x - 4 + 5x + 17 = 90

7x + 13 = 90

7x = 90 - 13

7x = 77

x = 77/7

x = 11

m<A:

2x - 4

2(11) - 4

22 - 4

18

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