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3. 11b 15° b + 25° b = ____

Question

  1. 11b 15° b + 25° b = ____

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, 35°+11b+(b + 25°)=180°.

Step2: Combine like - terms

First, combine the constant terms and the terms with b: (35°+25°)+(11b + b)=180°. This simplifies to 60°+12b=180°.

Step3: Isolate the variable b

Subtract 60° from both sides: 12b=180° - 60°. So, 12b=120°. Then divide both sides by 12: b = $\frac{120}{12}$.

Answer:

10