Mathematics: If two congruent angles form a linear pair, then a) one angle id acute and the other angle is obtuse b) they are both right angles c)they are both acute angles d)they are both obtuse angles

If two congruent angles form a linear pair, then

Ответ:

rizha55

17.09.2022

Mathematics

m∠CAB=48°

Step-by-step explanation:

From the given picture, there is a circle with center O and the measure of central angle ∠COB=96°.

We know that the angle which is subtended by an arc at the centre of a circle is double the size of the angle subtended at any point on the circumference.

Therefore, $\angle{COB}=2\times\angle{CAB}$

$\Rightarrow\ \angle{CAB}=\frac{1}{2}\angle{COB}=\frac{1}{2}\times96^{\circ}=48^{\circ}$

Hence, m∠CAB=48°

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If two congruent angles form a linear pair, then a) one angle id acute and the other angle is obtuse b) they are both right angles c)they are both acute angles d)they are both obtuse angles

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