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Ahat [919]
2 years ago
7

Find the measures of two angles, one positive and one negative, that are coterminal with the given angle.

Mathematics
2 answers:
padilas [110]2 years ago
6 0
<span>If it's in radians you subtract 2pi to get the negative coterminal and add 2pi to get the positive coterminal. It may take more than one time. If it's in degrees you subtract and add 360 degrees. This is because 360 degrees and 2pi is the distance around the circle, so you would go completely around the circle and get to the same point on it.

Hope this helps</span>
Lana71 [14]2 years ago
4 0

Answer:

Positive co terminal angle = 562°

Negative co terminal angle = -158°

Step-by-step explanation:

We have been given the angle 202° and we have to find one positive and one negative co-terminal angle.

In order to find the co terminal angle, we add and subtract 360° to the given angle.

Therefore, the negative co terminal angle is given by

202 - 360 = -158°

And the positive co terminal angle is given by

202 + 360 = 562°


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Answer:

1.A by SSS axiom

2.F as angle A is 62*

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2 years ago
Given: mAngleEDF = 120°; mAngleADB = (3x)°; mAngleBDC = (2x)° Prove: x = 24 3 lines are shown. A line with points E, D, C inters
N76 [4]

Answer:

" Vertical angles are congruent " ⇒ 2nd answer

Step-by-step explanation:

* <em>Look to the attached figure </em>

- There are three lines intersected at point D

- We need to find the missing in step 3

∵ Line FA intersects line EC at point D

- The angles formed when two lines cross each other are called

 vertical angles

- Vertical angles are congruent (vertical angles theorem)

∴ ∠ADC and ∠FDE are vertical angles

∵ Vertical angles are congruent

∴ ∠EDF ≅ ∠ADC

∴ m∠EDF ≅ m∠ADC

∵ m∠EDF = 120° ⇒ given

∵ m∠ADC = m∠ADB + m∠BDC

∴ m∠ADB + m∠BDC = 120°

∵ m∠ADB = (3x)° ⇒ given

∵ m∠BDC = (2x)° ⇒ given

∴ 3x + 2x = 120 ⇒ add like terms

∴ 5x = 120 ⇒ divide both sides by 5

∴ x = 24

Column (1)                                                     Column (2)

m∠EDF = 120°                                               given

m∠ADB = 3 x                                                 given

m∠BDC = 2 x                                                 given

∠EDF and ∠ADC are vertical angles           defin. of vert. ∠s

∠EDF is congruent to ∠ADC                        vertical angles are      

                                                                        congruent  

m∠ADC = m∠ADB + m∠BDC                        angle add. post.

m∠EDF = m∠ADC                                          defin. of cong.

m∠EDF = m∠ADB + m∠BDC                         substitution

120° = 3 x + 2 x                                               substitution

120 = 5 x                                                         addition

x = 24                                                              division  

∴ The missing reason is " vertical angles are congruent "

- From the explanation above ∠ADC and ∠FDE are vertical

 angles then they are congruent according to vertical angle

 theorem

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