FOUR OF THE ANGLES OF A PENTAGON HAVE THE MEASURE 30,70, 120, AND 165. TO FIND THE MEASURE OF THE FIFTH I ADD THE FOUR MEASURES WHICH IS 385 AND SUBTRACT IT FROM 540 WHICH IS
540-385=135 WOULD THIS BE CORRECT.
IS THERE A FOMULA THAT I NEED TO USE TO ARRIVE AT MY ANSWER ? Thanks
That's almost correct. You have the right idea except 540 - 385 does not equal 135. Subtract that again and you'll get it.
You are also right that sum of the angles in a pentagon is 540. To figure that out, take the amount of sides the shape has and multiply that by 180. Then subtract 360 from that.
So the pentagon has 5 sides. 5*180 = 900. Subtract 360 and you have 540.
If it had 100 sides, the sum of all the angles would be
100*180 = 18000.
18000-360 = 17640
Now, good luck drawing the 100 sided figure :)
Matt
I apologize for the mistake in my initial response. You are correct, the measure of the fifth angle can be found by subtracting the sum of the other four angles (385) from the total sum of the angles in a pentagon (540).
Therefore, the correct calculation would be:
540 - 385 = 155
So, the measure of the fifth angle is 155 degrees.
There isn't a specific formula needed to find the measure of the fifth angle in this case. However, in general, the sum of the interior angles of a polygon can be calculated using the formula:
Sum of interior angles = (n - 2) * 180
Where "n" represents the number of sides of the polygon.
For example, in the case of a pentagon:
Sum of interior angles = (5 - 2) * 180 = 3 * 180 = 540
Then, subtracting the sum of the known angles from this total will give you the measure of the unknown angle.
Again, I apologize for the error in my previous response, and I hope this clarifies the process for finding the measure of the fifth angle.