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8 select the correct answer. determine whether the supplement of an obt…

Question

8
select the correct answer. determine whether the supplement of an obtuse angle is,
a an acute angle
b a right angle
c an obtuse angle
d a straight angle

Explanation:

Brief Explanations

Let the obtuse angle be \( \theta\). By definition, \(90^{\circ}<\theta < 180^{\circ}\). The supplement of \( \theta\) is \(180^{\circ}-\theta\).
If \(90^{\circ}<\theta < 180^{\circ}\), then \(180^{\circ}- 180^{\circ}<180^{\circ}-\theta<180^{\circ}-90^{\circ}\), which simplifies to \(0^{\circ}<180^{\circ}-\theta < 90^{\circ}\). An angle \(x\) with \(0^{\circ}

Answer:

A. An Acute angle