Question

find the measure of each angle indicated.
25)

Explanation:

Step1: Find the adjacent interior angle

The adjacent interior angle to \(110^{\circ}\) is \(180 - 110=70^{\circ}\) (supplementary angles).

Step2: Use the triangle angle - sum theorem

In \(\triangle FGH\), the sum of interior angles is \(180^{\circ}\). Let \(\angle F=x\). Then \(x + 85+70 = 180\).

$$x=180-(85 + 70)$$

$$x=180 - 155$$

$$x = 25^{\circ}$$

Answer:

\(25^{\circ}\)