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14、∠a and ∠b are adjacent and supplementary. ∠a = 68°. find ∠b.

Question

14、∠a and ∠b are adjacent and supplementary. ∠a = 68°. find ∠b.

Explanation:

Step1: Recall supplementary angles property

Supplementary angles add up to \(180^\circ\), so \(\angle A+\angle B = 180^\circ\).

Step2: Substitute \(\angle A = 68^\circ\)

We get \(68^\circ+\angle B=180^\circ\). Then, solve for \(\angle B\) by subtracting \(68^\circ\) from both sides: \(\angle B = 180^\circ - 68^\circ\).

Step3: Calculate the result

\(180 - 68 = 112\), so \(\angle B = 112^\circ\).

Answer:

\(112^\circ\)