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Levart [38]
3 years ago
10

Lines a and b are parallel. What is the measure of angle m? m = ?

Mathematics
2 answers:
Alik [6]3 years ago
8 0
Since the lines are Parallel 125 degrees are the same for angles like 125 degrees so the measure of line m is 55 degrees.
180-125=55
Sever21 [200]3 years ago
3 0
The answer is : m=55
180-125=55
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Y’all know this anything about this?
Andre45 [30]

We are given:

  • Parallelogram CDEF
  • ∠C = 13x - 10
  • ∠D = 5x + 10

To Find: ∠E

Concept Used:

  • Adjacent angles of a Parallelogram are Supplementary

Finding the value of 'x':

Since adjacent angles of a parallelogram are Supplementary:

∠D + ∠C = 180

5x + 10 + 13x - 10 = 180              [replacing the values of angle C and D]

18x = 180

x = 10                                          [dividing both sides by 18]

__________________________________________________________

Finding Measure of Angle D:

We are given that:

∠D = 5x + 10

∠D = 5(10) + 10                    [since x = 10]

∠D = 60°

__________________________________________________________

Finding the measure of ∠E:

∠D and ∠E are Adjacent angles

Since Adjacent angles are Supplementary:

∠D + ∠E = 180

60 + ∠E = 180

∠E = 120°                                  [subtracting 60 from both sides]

Hence, the measure of ∠E = 120°

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Step-by-step explanation:

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C) Asher should have multiplied 10 × 4 as well.

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D) Asher should have gotten this as the answer: 1, 2, 5, and 10.

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E) Asher should have gotten this as the answer: 10, 20, 30, 40, …

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