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Math  /  Geometry

QuestionIn the given diagram, there is a quadrilateral ABCD.The angles are given as follows: ∠A=65∘,∠B=55∘,∠D=115∘.The length of side CD is 10 cm.Solve for x, where ∠C=x.\begin{array}{c} \text{In the given diagram, there is a quadrilateral } ABCD. \\ \text{The angles are given as follows: } \angle A = 65^\circ, \angle B = 55^\circ, \angle D = 115^\circ. \\ \text{The length of side } CD \text{ is } 10 \text{ cm.} \\ \text{Solve for } x \text{, where } \angle C = x. \end{array}

Studdy Solution
Subtract the sum of the known angles from 360∘ 360^\circ to find x x : x=360∘−235∘ x = 360^\circ - 235^\circ x=125∘ x = 125^\circ
The measure of ∠C \angle C is:
125∘ \boxed{125^\circ}

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