The figure above is a pentagon. Every one of the angles provided (except the inner one) room exterior angles to the pentagon"s interior angles.
You are watching: How many degrees is in a pentagon
What is the worth of
There space two vital things because that a question like this. The an initial is to understand that a polygon has actually a complete degree measure of:
Therefore, a hexagon choose this one has:
Next, you must remember that every one of the exterior angles listed are supplementary to your correlative interior angles. This lets you attract the complying with figure:
Now, girlfriend just have actually to regulate your algebra well. You should sum up every one of the internal angles and set them same to
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Example concern #2 : exactly how To discover An angle In A Pentagon
The figure over is a pentagon. Every one of the angles detailed (except the inner one) space exterior angles to the pentagon"s interior angles.
What is the value of the largest unknown edge in the number above?
There room two key things because that a question favor this. The an initial is to recognize that a polygon has a total degree measure up of:
Therefore, a hexagon prefer this one has:
Next, you should remember that all of the exterior angles listed are supplementary to their correlative inner angles. This lets you attract the adhering to figure:
Now, friend just have actually to regulate your algebra well. You have to sum up every one of the internal angles and collection them same to
Now, you have actually to uncover the largest unknown angle, which is
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Example question #3 : how To uncover An edge In A Pentagon
What is the amount of three angles in a pentagon?
The amount of all angle is figured out by the adhering to formula because that a polygon:
In a pentagon, there are 5 sides, or
There are 5 interior angles in a pentagon. Divide the total feasible angle by 5 to identify the worth of one inner angle.
Each inner angle that a pentagon is 108 degrees.
The amount of 3 angles in a pentagon is:
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