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Angles on a straight line sum up to 180°. Given angles 36.5°, y, and 50°, find the value of y.

Mathematics

ScanSolve AI Answer

Answer

93.5∘\text{93.5}^\circ

Step-by-step solution

3 steps

Here is the solution to .

:
The image shows three angles, 36.5∘36.5^\circ, yy, and 50∘50^\circ, that lie on a straight line. Angles on a straight line sum up to 180∘180^\circ.

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

    36.5∘+y+50∘=180∘36.5^\circ + y + 50^\circ = 180^\circ
  2. Combine the constant terms on the left side of the equation.

    86.5∘+y=180∘86.5^\circ + y = 180^\circ
  3. Subtract 86.5∘86.5^\circ from both sides of the equation to solve for yy.

    y=180∘−86.5∘y = 180^\circ - 86.5^\circ y=93.5∘y = \boxed{\text{93.5}^\circ}
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