Question

what is the value of b?

b = \square\degree

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Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles, so:
$$b+34^\circ = b + (b-46^\circ)$$

Step2: Simplify the equation

Combine like terms on the right-hand side:
$$b+34^\circ = 2b - 46^\circ$$

Step3: Isolate variable $b$

Subtract $b$ from both sides, then add $46^\circ$ to both sides:
$$34^\circ + 46^\circ = 2b - b$$
$$80^\circ = b$$

Answer:

$80$