Question

vertical/adjacent/complementary angles l2
question
find the measure of the missing angles.
answer
attempt 1 out of 3
d = □° e = □° f = □°

Explanation:

Step1: Find \(d\)

Use the fact that the sum of angles around a point is \(360^{\circ}\). But also, note that \(d + 27^{\circ}+131^{\circ}=180^{\circ}\) (linear - pair of angles).

$$d=180^{\circ}-(27^{\circ} + 131^{\circ})$$

$$d=180^{\circ}-158^{\circ}$$

$$d = 22^{\circ}$$

Step2: Find \(e\)

\(e\) and \(27^{\circ}\) are vertical angles. Vertical angles are equal.

$$e = 27^{\circ}$$

Step3: Find \(f\)

\(f\) and \(131^{\circ}\) are vertical angles. Vertical angles are equal.

$$f=131^{\circ}$$

Answer:

\(d = 22^{\circ}\), \(e = 27^{\circ}\), \(f = 131^{\circ}\)