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Recall the property of angles in a triangle.

Mathematics

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Answer

x=117∘x = 117^\circ

Step-by-step solution

4 steps
  1. Recall the property of angles in a triangle.

    The sum of the interior angles in any triangle is always 180∘180^\circ.

  2. Identify the given angles.

    The triangle has three angles: 3∘3^\circ, 60∘60^\circ, and x∘x^\circ.

  3. Set up the equation for the sum of angles.

    3∘+60∘+x∘=180∘3^\circ + 60^\circ + x^\circ = 180^\circ
  4. Solve for xx.

    Combine the known angles:

    63∘+x∘=180∘63^\circ + x^\circ = 180^\circ

    Subtract 63∘63^\circ from both sides:

    x∘=180∘−63∘x^\circ = 180^\circ - 63^\circ x∘=117∘x^\circ = 117^\circ

    The value of xx is 117∘117^\circ.

    x=117∘x = 117^\circ
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