Question

what is the value of ( b )?
(there is a triangle diagram with an exterior angle ( b + 37^circ ), one interior angle at the top ( b ), and one interior angle at the bottom ( b - 31^circ ).)
( b = square^circ )
submit

Explanation:

Step1: Use exterior angle property

The exterior angle of a triangle equals the sum of the two opposite interior angles. So:
$$b+37^\circ = b + (b-31^\circ)$$

Step2: Simplify the equation

Cancel $b$ from both sides, then solve for $b$:
$$37 = b - 31$$
$$b = 37 + 31$$

Step3: Calculate the final value

Compute the sum:
$$b = 68$$

Answer:

$68$