Question

I dont understand this

Answer 1

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

Answer 2

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.

• $(2x+5x)+(-4+17)=90$
• $7x+13 = 90$

Step 2: Subtract 13 from both sides.

• $7x + 13 - 13 = 90 - 13$
• $7x = 77$

Step 3: Divide both sides by 7.

• $\frac{7x}{7} = \frac{77}{7}$
• $x = 11$

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

• $2(11)-4$

• $22-4$
• $18$

Therefore, the measure of ∠A = 18°.