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:
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If B is a complement of A this means that the sum of the measures of A and B is 90 degrees.
mA + mB = 90
mB =90 - mA
mB = 90 - 40 = 50
Thus, the measure of angle B is 50 degrees.
If C is a supplement of B then, the sum of the measures of B and C is 180 degrees.
mC + mB = 180
mC = 180 - mB
mC = 180 - 50 = 130
Therefore, the measure of angle C is 130 degrees.
Answer:D. 10
Step-by-step explanation:
Shana drew 48 times and pulled a green marble 8 times, so the fraction of green marbles in the bag is about 8/48. Multiply that by the total number of marbles in the bag and you get the total number of green marbles in the bag.
<span> x • (11x4 - 14x3 + 12)</span>
the answer is c 20 minutes played and 9 levels passed because that point is acctually shown on the line
