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Answer :
The calculated measure of the angle MNP is 70.5 degrees
How to determine the measure of the angle MNP
From the question, we have the following parameters that can be used in our computation:
The circle
Where, we have the centre angle to be
MOP = 219 degrees
By definition
The angle at circumference is half the angle at the center
Using the above as a guide, we have the following:
MNP = 1/2 * (360 - MOP)
Substitute the known values into the equation
MNP = 1/2 * (360 - 219)
Evaluate
MNP = 70.5
Hence, the measure of the angle MNP is 70.5 degrees
Question
The measure of ∠ mop is 219 ∘ as shown. what is the measure of ∠ mnp ?
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Rewritten by : Jeany
The measure of the angle MNP is 70.5°
Circle geometry is the study of circle and it's properties. The outer bound of a circle is called the circumference.
The cut out part of a circle is called an arc. Sr of the theorems of circles include;
angle at the center is twice angle at the circumference.
angle in thesame segment are equal.
opposite angles in a cyclic quadrilateral are supplementary.
This means ;
angle at the center = 2 × angle MNP
therefore;
angle at the center = 360 - 219
= 141°
angle MNP = 141/2
= 70.5°
