The largest angle is E = 205°.
<h3>
What is a pentagon?</h3>
- A pentagon is any five-sided polygon or 5-gon in geometry.
- A basic pentagon's internal angles add up to 540°.
- A pentagon might be straightforward or self-intersecting.
- A pentagram is a self-intersecting regular pentagon (or a star pentagon).
To find the measure of the largest angle:
The sum of interior angles of a polygon is:
Where n is the number of sides.
Here n = 5, as pentagon has 5 sides.
Let, C = D = x
Then, E = 2x + 15 (15 more than twice C)
We can express the sum of the 5 angles as:
- 60 + 85 + x + x + 2x + 15 = 540
Simplify the left side by collecting like terms:
Subtract 160 from both sides:
- 4x + 160 - 160 = 540 - 160
- 4x = 380
Divide both sides by 4:
- 4x/4 = 380/4 = x = 95
- C = D = x = 95°
- E (2 × 95) + 15 = 205°
The 5 interior angles of the pentagon are:
- 60° + 85° + 95° + 95° + 205° = 540°
The largest angle is E = 205°.
Therefore, the largest angle is E = 205°.
Know more about a pentagon here:
brainly.com/question/25917702
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To find the answer subtract 10 from both sides. x^2 = 19
Take the square root of both sides to get x = the square root of 19
Answer:
18
Step-by-step explanation:
You have to find the average so you add up all of the numbers and divide by how many there are. So it would be:
84+105+105+100=394
394/4= 98.5
So your grade would be about 98.5%
