Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle? 82° 92° 102° 112°.

Sagot :

the sum of all interior angles in a polygon is

180( n - 2), n = number of sides

we know this one is a PENTAgon, so it has 5 sides, so the total for the interior angles will be

180( 5 - 2) = 540 degrees.

540° - 88° - 118° - 132° - 100° = 102° <- fifth angle.

facundo3141592

The final interior angle of the pentagon measures 102°.

What is the measure of the fifth interior angle?

We know that for a figure of n sides, the sum of its interior angles is equal to:

S = (n - 2)*180°

Then for a pentagon, 5 sides, we have:

S = (5 - 2)*180° = 3*180° = 540°

Then if X is the missing interior angle, we must have:

88° + 118° + 132° + 100° + X = 540°

438° + X = 540°

X = 540° - 438° = 102°

So the measure of the last interior angle is 102°.

If you want to learn more about interior angles:

https://brainly.com/question/24839702

#SPJ2

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.