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14) a) 107° b) 134° c) 45° d) 143°

Question

14)
a) 107° b) 134°
c) 45° d) 143°

Explanation:

Step1: Use the property of supplementary angles

When two angles are supplementary, their sum is \(180^{\circ}\). Let the unknown angle be \(x\). We know that \(x + 46^{\circ}=180^{\circ}\) (because they form a linear pair).

Step2: Solve for \(x\)

Subtract \(46^{\circ}\) from both sides of the equation: \(x=180^{\circ}- 46^{\circ}\).

$$x = 134^{\circ}$$

Answer:

B. \(134^{\circ}\)