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QUESTION IMAGE

e value of n.

Question

e value of n.

Explanation:

Step1: Identify angle sum (right angle)

The three angles form a right angle, so their sum is \( 90^\circ \). Thus, \( (7n - 3) + 37 + 90? \) Wait, no—wait, the right angle is \( 90^\circ \), so the two acute angles sum to \( 90^\circ \). So \( (7n - 3) + 37 = 90 \).

Step2: Solve for n

Simplify: \( 7n - 3 + 37 = 90 \) → \( 7n + 34 = 90 \). Subtract 34: \( 7n = 90 - 34 = 56 \). Divide by 7: \( n = \frac{56}{7} = 8 \).

Answer:

\( n = 8 \)