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The image shows a diagram with angles. Solve for x and state the definition of angles at a point.

Mathematics

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Step-by-step solution

3 steps

Here are the solutions based on the image:

1. Solving for xx in the angle equation:

  1. Sum the known angles.

    30∘+70∘=100∘30^\circ + 70^\circ = 100^\circ
  2. Substitute the sum into the given equation.

    100∘+x=180∘100^\circ + x = 180^\circ
  3. Isolate xx by subtracting 100∘100^\circ from both sides.

    x=180∘−100∘x = 180^\circ - 100^\circ x=80∘x = 80^\circ

    The value of xx is \boxed{\text{80^\circ}}.

    2. Definition of angles at a point:

    Angles which meet at a point: The sum of all angles around a point is \boxed{\text{360^\circ}}.

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