Question

I am just all around confused with this. Well explanation needed!

Answer 1

Given:

m∠A = (4x - 2) degrees

m∠B = (11x + 17) degrees

Let's find the value of x if the angles A and B are complementary angles.

Complementary angles are angles that sum up to 90 degrees.

Hence, we have:

m∠A + m∠B = 90

(4x - 2) + (11x + 17) = 90

Let's solve for x.

• Remove the parentheses:

4x - 2 + 11x + 17 = 90

• Combine like terms:

4x + 11x - 2 + 17 = 90

15x + 15 = 90

• Subtract 15 from both sides:

15x + 15 - 15 = 90 - 15

15x = 75

• Divide both sides of the equation by 15:

`\begin{gathered} (15x)/(15)=(75)/(15) \\ \\ x=5 \end{gathered}`

Therefore, the value of x = 5

ANSWER:

x = 5