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Vika [28.1K]
2 years ago
12

Plzz helpppp meee.... i need the answer and steps really fast ...​

Mathematics
1 answer:
blsea [12.9K]2 years ago
4 0

Answer:

R = √2

α = π/4 or 45°

Step-by-step explanation:

R cos(2n + α)

Use angle sum formula:

R [cos(2n) cos α − sin(2n) sin α]

R cos(2n) cos α − R sin(2n) sin α

Match the coefficients:

R cos α = 1

R sin α = 1

Divide:

tan α = 1

α = π/4 or 45°

Solve for R:

R cos(π/4) = 1

R / √2 = 1

R = √2

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1.) List all interior angles (see image)
Alexxandr [17]

Answer:

1. Interior angles:- B and F

                                C and G

2. Corresponding angles:- E and G

                                              F and H

                                              A and C

                                              B and D

3. Equal

4. Angle A = 105

    Angle C = 105

    Angle D = 75

    Angle E = 75

    Angle F = 105

    Angle G = 75

     Angle H = 105

5. Angle D

6. Angle B = 65

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1. The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.

∴ Pair of interior angles are:- 1)  B and F

                                                  2) C and G

2. Corresponding angles:- the angles which occupy the same relative position at each intersection where a straight line crosses two others.

∴ Pair of corresponding angles:- 1) A and C

                                                        2) B and D

                                                        3) E and G

                                                        4) F and H

3. Angle D and E are equal as they form alternate exterior angles.

4. Angle B = 75 degrees

Angle A = (180-B) = 105 degrees

Angle C = (180-B) = 105 degrees(interior angles)

Angle D = B = 75 degrees(corresponding angles)

Angle E = B = 75 degrees(congruent angles)

Angle F = (180-B) = 105 degrees

Angle G = B = 75 degrees(alternate interior angles)

Angle A = (180-B) = 105 degrees

5. Angle D

6. Angle F = 115 degrees

Angle B = (180-115) = 65 degrees

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