Question

if one of the angle formed by the diagonals and adjacent side of the Rhombus is 20 degrees find all the angles of the Rhombus

Answer 1

Step-by-step explanation:

Since we know that diagonals of a rhombus cut at right angles

Answer 2

Concept

A quadrilateral with four equal sides in geometry is said to be a rhombus

Given

One of the angle formed by the diagonals and the adjacent side of the rhombus is 20

Find

All other angles of the rhombus

Solution

Angle ADO = 20

We know that diagonal of rhombus cut at right angles (90)

So here

Angle DOA = 90

& Angle ADO = 20 = Angle OBC

So from sum property of triangle

In triangle ADO

Angle ADO + Angle ODA + Angle OAD =180

20 + 90  + Angle OAD = 180

Angle OAD = 180 – 110

= 70

Similarily

Angle OAB = 70

Angle OCB = 70

Angle A = 70 + 70 = 140

Angle B = 40

Angle C  = 140

Angle D  = 40

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