Question

The measure of to adjacent angles of a quadrilateral are 105 and 45 and two angles are equal.Find the measure of each equal angles.

Answer 1

Answer:

Let a quadrilateral. ABCD

Given: ∠A= 105°            ∠C=∠D

          ∠B= 45°

 By Angle Sum Property

     ∠A+∠B+∠C+∠D= 360°

     105°+45°+∠C+∠C= 360°                   (∠C=∠D)

      150°+2∠C=360°

      2∠C= 360°-150°

         ∠C= 110°/2

           ∠C= 55°=∠D       (Given).

Step-by-step explanation:

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