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the diagram shows a triangle. what is the value of b? b = \\square^\\ci…

Question

the diagram shows a triangle. what is the value of b? b = \square^\circ submit

Explanation:

Step1: Sum angles to 180°

$$(b+11) + (2b+7) + (3b-12) = 180$$

Step2: Combine like terms

$$6b + 6 = 180$$

Step3: Isolate term with b

$$6b = 180 - 6$$
$$6b = 174$$

Step4: Solve for b

$$b = \frac{174}{6}$$

Answer:

29