Question

please and this . understanding quadrilateral

Answer 1

Hey there!

★ We are given,
Angle BOC is 56°

★ To find: Angle ADO

★ Construction: Let E be the Mid point of Side AD

★ Proof:
Since, Diagonals of a rectangle (Given) are Equal & bisect each other.

So, OA = OB = OC = OD -----(1)

Tn the triangles OED and OEA

OA = OD (by eq. 1)
OE = OE (Common)
AE = ED (by Construction)

Therefore,
Triangle OED ≅ Triangle OEA

Now,
Angle AOD = Angle BOC = 56° (Vertically opposite angles)

Anghle AEO = 90° (By construction)
Angle AOE = DOE = 28° [Half of anlgle 56°]

In AEO by angle sum prop. of triangle
Angle DAO = 62°

Now, our final step

In triangle DAO
by angle sum prop. of triangle

Angle AOD + Angle DAO + Angle ADO = 180°

62° + 56° + Angle ADO = 180°

Angle ADO = 62°

HOPE IT HELPED ^_^
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