91.7k views
3 votes
What is the value of x angel in a pentagon if each interior angel is 117 , 100 , 105 and 115

2 Answers

4 votes

Final answer:

The value of angle x in a pentagon is 103 degrees.

Step-by-step explanation:

In a pentagon, the sum of the interior angles is always 540 degrees. To find the value of angle x, we can subtract the given angles from 540 degrees and then divide by the number of missing angles.

Given angles: 117, 100, 105, 115

Sum of given angles: 117 + 100 + 105 + 115 = 437 degrees

Sum of missing angles: 540 - 437 = 103 degrees

Since there is only one missing angle x in the pentagon, the value of x must be 103 degrees.

User KaseOga
by
4.5k points
4 votes

Answer:

Step-by-step explanation:

Well first you have to find what the total amount of all the interior angles. In Oder to do that you count how many sides the shape has the subtract two from that number. Take the number you get from that and multiply it by 180. That number is total amount of all the interior angles including the angle x. Take the angles you do know and add them together. Take the number you get from that and subtract it from the total amount of all interior angles. The number you get from that is your answer. The answer to this problem is 103.

User Davaughn
by
4.1k points