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2 years ago

I need help with this badly. It's geometry and angles.

Mathematics

2 answers:

lys-0071 [83]2 years ago

6 0

Answer:

∠ C = 118°

Step-by-step explanation:

DE = DF , then Δ DEF is isosceles with base angles congruent , then

∠ DEF = ∠ DFE = $\frac{180-56}{2}$ = $\frac{124}{2}$ = 62°

∠ DFE and ∠ DFB are adjacent angles on a straight line and sum to 180° , so

∠ DFB = 180° - 62° = 118°

BCDF is a parallelogram ( opposite sides are parallel )

The opposite angles of a parallelogram are congruent , then

∠ C = ∠ DFB = 118°

12345 [234]2 years ago

5 0

Ok done. Thank to me :>

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3 years ago

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The X and Y angles created by lines intersection in the pictures are 18° and 54°.

Based on the picture, angle ∠MON is a right angle hence it has an 90° angle. We then know that the ∠MOA is 72°. Because angle ∠MOA lies within the angle ∠MON, hence we can write the following formula:

∠MON = ∠MOA +∠AON = 90°

∠MON = 72° + ∠AON = 90°

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If we focus on the line CD being intersected by the line AB, hence we can conclude that the angles form by this intersection will follow these rules:

∠AOD = ∠BOC

∠AOC = ∠BOD

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∠BOC + ∠BOD = 180°

Based on the picture, we know that:

∠BOC = x

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∠AOC = 72° + y ...(ii)

∠AOD = ∠AON + ∠NOD

∠AOD = 18° +2x

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Because we already know that ∠BOC = AOD, hence we could rewrite the formula into:

∠BOC = ∠AOD

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To find the value of y, we need to focus on angle ∠AOC. Based on the previous calculations and formulas, we know that:

∠AOC + ∠BOC = 180° ... (v)

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∠AOC + ∠BOC = 180°

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Learn more about the angles by lines intersection here: brainly.com/question/2077876?referrer=searchResults

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Answer:

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Step-by-step explanation:

1. Approach

To solve this problem, one first has to think about the given figure in a certain way. In the figure, one can see that it is a circle attached on either side of a rectangle. To find the perimeter of the figure, one has to find the circumference of the circle and then add two sides of the rectangle to the answer

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The formula to find the circumference of a circle is;

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Normally to find the circumference of a semicircle, one would have to divide this formula by 2, but since in this case, one has to add two congruent semicircles, so therefore, the effect of dividing the equation by two, only to multiply by two again cancels, and hence, there is no need to divide by 2.

Substitute in the values;

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Now, one has to add the two additional sides of the figure, to the circumferences of the semicircles to get the final answer;

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