Question

1. solve for n

$(17n - 3)^circ$
$(11n + 15)^circ$

Explanation:

Step1: Identify angle relationship

The figure is a trapezoid with sides AB and DC parallel, so consecutive angles ∠B and ∠C are supplementary (sum to $180^\circ$).

Step2: Set up the equation

$$(17n - 3) + (11n + 15) = 180$$

Step3: Combine like terms

$$28n + 12 = 180$$

Step4: Isolate the variable term

$$28n = 180 - 12$$
$$28n = 168$$

Step5: Solve for n

$$n = \frac{168}{28}$$

Answer:

$n = 6$