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insens350 [35]
2 years ago
5

A particular convex pentagon has two congruent, acute angles. The measure of each of the other interior angles is equal to the s

um of the measures of the two acute angles. What is the common measure of the large angles, in degrees?
Mathematics
1 answer:
NNADVOKAT [17]2 years ago
6 0

1. First, you must apply the formula for calculate the sum of the interior angles of a regular polygon, which is shown below:


 (n-2) × 180°


 "n" is the number of sides of the polygon (n=5).


 2. Then, the sum of the interior angles of the pentagon, is:


 (5-2)x180°=540°


 3. The problem says that the measure of each of the other interior angles is equal to the sum of the measures of the two acute angles and now you know that the sum of all the angles is 540°, then, you have:


 α+α+2α+2α+2α=540°

 8α=540°

 α=540°/8

 α=67.5°


 4. Finally, the larger angle is:


 2α=2(67.5°)=135°


 5. Therefore, the answer is: 135°

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Goryan [66]

Answer:

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Step-by-step explanation:

#3) The number of possible choices are found by multiplying the choices of flavors and the choices of toppings:

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7 0
1 year ago
The top of a ladder is 4m up a vertical wall.The bottom is 2m from the wall.The coordinate axes are the wall and the horizontal
mash [69]

Answer:

Part a) y=-2x+4

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Step-by-step explanation:

Part a) Find the equation representing the ladder

we have the ordered pairs

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substitute

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Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.

If the box is a square

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1 year ago
If the length of rectangle is 8.26cm and its breadth is 5.5cm, the find the
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Answer:

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