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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Julie is corrected since 3×9=27 and you could still divide 27÷3 and have no remainders.
You add
1,813 + 1,513 + 761 = 4,087
Then you subtract
5,700 - 4,087 = 1,613
It's C. The standard deduction is $1,613 better than Chris's deductions
I just took the test.
