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Find the values of x and y in the given diagram.

Mathematics

ScanSolve AI Answer

Answer

x=88∘x = \text{88}^\circ

y=47∘y = \text{47}^\circ

Step-by-step solution

2 steps
  1. Find the value of yy.

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

    41∘+92∘+y=180∘41^\circ + 92^\circ + y = 180^\circ 133∘+y=180∘133^\circ + y = 180^\circ

    Subtract 133∘133^\circ from both sides:

    y=180∘−133∘y = 180^\circ - 133^\circ y=47∘y = 47^\circ
  2. Find the value of xx.

    Angles on a straight line sum to 180∘180^\circ. The angle 92∘92^\circ and angle xx form a linear pair.

    92∘+x=180∘92^\circ + x = 180^\circ

    Subtract 92∘92^\circ from both sides:

    x=180∘−92∘x = 180^\circ - 92^\circ x=88∘x = 88^\circ

    The values are:
    x=88∘x = \boxed{\text{88}^\circ}
    y=47∘y = \boxed{\text{47}^\circ}

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