Question

there is a right angle, and the two angles formed by a ray inside the right angle are (5w + 5)° and (2w + 8)°. we need to find the value of w. answer attempt 1 out of 2 w = submit answer

Explanation:

Step1: Identify angle sum

The two angles form a right angle, so their sum is \(90^\circ\). Thus, \((5w + 5) + (2w + 8) = 90\).

Step2: Combine like terms

Combine the \(w\) terms and constant terms: \(5w + 2w + 5 + 8 = 90\) → \(7w + 13 = 90\).

Step3: Solve for \(w\)

Subtract 13 from both sides: \(7w = 90 - 13 = 77\). Then divide by 7: \(w = \frac{77}{7} = 11\).

Answer:

\(11\)