Question

abcd ~ fecg
w = ?°

Explanation:

Step1: Recall property of similar polygons

Corresponding angles of similar polygons are equal.

Step2: Identify corresponding angles

Angle D in ABCD corresponds to angle G in FECG.

Step3: Find angle G

In polygon FECG, using angle - sum property of a quadrilateral (sum of interior angles = 360°), we first find the fourth angle. Let the fourth angle be x. Then \(x=360-(100 + 60+120)=80^{\circ}\). So \(w = 80^{\circ}\).

Answer:

80