Question

homework - complementary angles due sep 5 by 11:58pm points 10 submitting an external tool given: ∠a = 6x + 23 ∠b = 4x − 2

Explanation:

Step1: Recall complementary angles property

Complementary angles sum to \(90^\circ\), so \(\angle A + \angle B = 90^\circ\).
Substitute \(\angle A = 6x + 23\) and \(\angle B = 4x - 2\) into the equation:
\((6x + 23) + (4x - 2) = 90\)

Step2: Simplify and solve for \(x\)

Combine like terms:
\(6x + 4x + 23 - 2 = 90\)
\(10x + 21 = 90\)

Subtract 21 from both sides:
\(10x = 90 - 21\)
\(10x = 69\)

Divide both sides by 10:
\(x = \frac{69}{10} = 6.9\)

Answer:

\(x = 6.9\)