Question

Calculate the value of x in the adjoining figure.
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Answer 1

Step-by-step explanation:

We know that AOB will be a straight line only if the adjacent angles form a linear pair.

∠BOC + ∠AOC = 180

By substituting the values we get

(4x – 36) + (3x + 20) = 180

4x - 36 + 3x + 20 = 180

On further calculation we get

7x = 180 - 20 + 36

7x = 196

By division we get

x = 196/7

x = 28

Therefore, the value of x is 28.

Answer 2

Answer:

x° = 130°. Please mark me as brainliest.

Step-by-step explanation:

∠ABD + ∠BAC + ∠ACD +  ∠CDB(reflex) = 360° (Quadrilateral angle sum property)

45° + 55° + 30° + ∠CDB(reflex) = 360°

∠CDB(reflex) = 360° - 130°

∠CDB(reflex) = 230°

x° + ∠CDB(reflex) = 360° (complete angle)

x° = 360° - 230°

x° = 130°