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QUESTION IMAGE

what is the value of b?

Question

what is the value of b?

Explanation:

Step1: Recall angle - sum property of a straight - line

The sum of angles on a straight - line is 180°.

Step2: Set up the equation

We know that \(b + 37^{\circ}+53^{\circ}=180^{\circ}\).

Step3: Simplify the left - hand side

First, add \(37^{\circ}\) and \(53^{\circ}\): \(37^{\circ}+53^{\circ}=90^{\circ}\). So the equation becomes \(b + 90^{\circ}=180^{\circ}\).

Step4: Solve for \(b\)

Subtract \(90^{\circ}\) from both sides of the equation: \(b=180^{\circ}-90^{\circ}\).

Answer:

\(90\)