donutdamara donutdamara
  • 22-07-2021
  • Mathematics
contestada

In the diagram, what is the measure of angle 1 to the nearest degree?

33 degrees
55 degrees
75 degrees
105 degrees

In the diagram what is the measure of angle 1 to the nearest degree 33 degrees 55 degrees 75 degrees 105 degrees class=

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dedzoedennis
dedzoedennis dedzoedennis
  • 25-07-2021

Answer:

75 degrees

Step-by-step explanation:

From the first part of the diagram,

vertically opposite angles are equal,

hence we have

125° + (4x-5)° + 125° + (4x-5)° = 360°

(Angles about a point equals 360°)

4x – 5 + 4x – 5 + 125 + 125 = 360

8x + 250 – 10 = 360

8x = 360–250 + 10

8x = 120

x = 15°

Now we have (5x)° in the second part.

5x = 5 × 15 = 75°

1 is vertically opposite to angle 75°

hence it is equal to 75 degrees.

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munroemikayla182 munroemikayla182
  • 29-06-2022

Answer:75

Step-by-step explanation:

Answer Link

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