Q5 of 23 Page 94

In the given figure, ∠ B:∠ C = 2:3, find ∠ B

Let ∠ B and ∠ C be 2x and 3x respectively.


Now, As we know sum of two interior angles of a triangle is equal to third exterior angle;


⇒ ∠ B + ∠ C = 130°


⇒ 2x + 3x = 130°


⇒ 5x = 130°


⇒ x = 26°


So, ∠ B = 2x = 2×26° = 52°


Hence, required angle is 52°.

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