Question

calculate the value of x in the given figure

Answer 1

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Answer 2

The value of x for the given figure is 130.

We are given that :--

∠ACD = 30°

∠DBA = 45°

∠BAC = 55°

To find : x

Solution:

Since it is a quadrilateral

The sum of all the angles is 360°

∠ACD + ∠DBA + ∠BAC + obtuse∠CDB = 360

obtuse∠CDB = 230°

x + obtuse∠CDB = 360° (angle around a point)

x = 360 - obtuse∠CDB

x = 130°