Question

In the given figure, abcd is a rhombus. find the value of x ? ​

Answer 1

Answer:

x = 45 Degrees

Step-by-step explanation:

Adjacent angles of a rhombus are = 180 degree

Therefore, angle DOA and angle AOB = 90 Degree

Let AOB = Triangle

Therefore, 36 + 90 + Angle ABO = 180

Therefore, 126 + Angle ABO = 180

Therefore, Angle AOB = 180 - 126

                                      = 54 Degrees

With SAS and ASA: Angle DAO = Angle x

Therefore, 2x + 90 = 180

Therefore, x = 45 Degrees

You can confirm by putting all the values and making a triangle out of DAB

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