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27. find the indicated value. a. find the measure of ∠b.

Question

  1. find the indicated value.

a. find the measure of ∠b.

Explanation:

Step1: Identify angle relationship

∠b and the 58° angle are supplementary (form a linear pair), so their sum is 180°.

Step2: Calculate ∠b

Use the formula \( \angle b + 58^\circ = 180^\circ \). Solve for \( \angle b \): \( \angle b = 180^\circ - 58^\circ = 122^\circ \).

Answer:

\( 122^\circ \)