Question

1. (12x + 25)° (12x + 11)° 11) 48° (5x - 33)°

Explanation:

Step1: Solve for \(x\) in problem 10

Since the two angles \((12x + 25)^{\circ}\) and \((12x+11)^{\circ}\) are supplementary (they form a linear - pair), their sum is \(180^{\circ}\).

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Step2: Solve for \(x\) in problem 11

Since the two angles \(48^{\circ}\) and \((5x - 33)^{\circ}\) are complementary (they form a right - angle), their sum is \(90^{\circ}\).

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Answer:

For problem 10: \(x = 6\). For problem 11: \(x = 15\).