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2. ∠a and ∠b are adjacent and complementary. ∠a = 41°. find ∠b.

Question

  1. ∠a and ∠b are adjacent and complementary. ∠a = 41°. find ∠b.

Explanation:

Step1: Recall complementary angles rule

Complementary angles sum to \(90^\circ\), so \(\angle A + \angle B = 90^\circ\).

Step2: Substitute \(\angle A = 41^\circ\)

\(41^\circ + \angle B = 90^\circ\), then \(\angle B = 90^\circ - 41^\circ\).

Step3: Calculate the result

\(\angle B = 49^\circ\).

Answer:

\(49^\circ\)