Question

find the value of x in given figure alongside​

Answer 1

In triangle ABC,  

<BAC + <ABC + <ACB = 180 (Angle sum of a triangle)

80 + 30 + <ACB = 180

110 + <ACB = 180

<ACB = 180 - 110

<ACB = 70

<ACB + <ECA + <ECD = 180 (Linear Pair)

70 + 90 + <ECA = 180

160 + <ECA = 180

<ECA = 180 - 160

<ECA = 20

Therefore, the value of x = 20

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