Question

If two angles of a quadrilateral are supplementary and the third angle is 30° , then the fourth angle is​

Answer 1

Answer:

150°

Step-by-step explanation:

Let all the angles pf the quadilateral as ∠A, ∠B, ∠C and∠D respectively.

Given,

∠A + ∠B = 180°

∠C = 30°

Fact → ∠A + ∠B +∠C + ∠D = 360°

∠D = (∠A + ∠B + ∠C + ∠D) - (∠A + ∠B + ∠C)

⇒ ∠D = 360° - (180° + 30°)

⇒∠D = 360° - 210°

⇒∠D = 150°

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