Question

solve for the value of y.
(2y - 1)°
(7y - 8)°
answer attempt 1 out of 2

Explanation:

Step1: Identify angle sum

The two angles form a right angle, so their sum is \(90^\circ\). Thus, \((2y - 1) + (7y - 8) = 90\).

Step2: Combine like terms

Combine the \(y\)-terms and constants: \(2y + 7y - 1 - 8 = 90\) → \(9y - 9 = 90\).

Step3: Solve for \(y\)

Add 9 to both sides: \(9y = 90 + 9 = 99\). Divide by 9: \(y = \frac{99}{9} = 11\).

Answer:

\(11\)