Question

Find the value of x in the given figure.
Do step by step
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Answer 1

Answer:

x = 20 degrees.

Step-by-step explanation:

angle A = 80 degrees

angle B = 30 degrees

angle ACE + angle ECD = angle A + angle B [exterior angles property]

or, x degrees + 90 degrees = 80 degrees + 30 degrees

or, x degrees = 110 degrees - 90 degrees

or, x = 20 degrees.

Answer 2

Answer:

First we will find triangle ABC

The interior angles of triangles is 180°

180° = ∠A + ∠B + ∠C

180° = 80° + 30° + ∠C

180° = 110° + ∠C

180° - 110° = ∠C

70° = ∠C

Since, EC ⊥ BD

So,

90° = x + 70°

90° - 70° = x

20° = x