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Elena-2011 [213]
3 years ago
9

Given: m∠1 = 95m∠2 = 36∠3 ≅ ∠ACE please help

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

The measure of the unknown angles are as listed:

  • <em>m∠3 = 85degrees</em>
  • <em>m∠4 = 85degrees</em>
  • <em>m∠6 = 36degrees</em>
  • <em>m∠5 = 144degrees</em>
  • <em>m∠7 = 59degrees</em>

Given the following parameters:

  • m∠1 = 95 degrees
  • m∠2 = 36 degrees

Since the sum of angle on a straight line is 180 degrees, hence;

m∠1 +m∠3 = 180

95 + m∠3 = 180

m∠3 = 180 - 95

m∠3 = 85degrees

  • From the diagram, m∠3 = m∠4 = 85 degrees (vertical angles)
  • Similarly, m∠6 = m∠2 = 36degrees (vertical angles)

The sum of angle on a straight line is 180 degrees, hence;

m∠2 +m∠5 = 180

36 + m∠5= 180

m∠5 = 180 - 36

m∠5 = 144degrees

Taking the sum of the interior angle of the triangle BEF;

m∠4 + m∠6 + m∠7 = 180

85 + 36 + m∠7 = 180

121 + m∠7 = 180

m∠7 = 180 - 121

m∠7 = 59degrees

Learn more on angles here: brainly.com/question/25716982

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Answer:

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Step-by-step explaination:

To start, the top right angle and the bottom left angle are alternate interior angles, making them congruent. The same justification goes for the angles in the top left and bottom right. With this in mind, 37° + 44° = 81°. Every triangle's angles always add up to 180°, meaning that 180° - 81° = 99°. Because angle n and the angle we just found to be 99° are supplementary, they also add up to 180°, therefore 180° - 99° = 81° which is the value of angle n.

7 0
3 years ago
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Nastasia [14]

Answer:

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Step-by-step explanation:

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4(3x - 1) is equal to (12x - 4). You DISTRIBUTE a '4' to what is inside the parentheses.

And btw, to make it easier, you can make 9 - x so that x is first. For example, (-x + 9). They're both the same thing, just written differently.

Your new equation is 12x - 4 = -x + 9. You want to now solve the equation.

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[If there's no number in front of a variable, you can always just put 1 in order to make it easier]

12x + 1x = 13x. Your new equation is 13x - 4 = 9. This should look very familiar. You simply add 4 to both sides. 9 + 4 = 13

Finally, 13x = 13. Divide 13 ÷ 13 to get 1.

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3 years ago
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ludmilkaskok [199]
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gulaghasi [49]

Answer:

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Step-by-step explanation:

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