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<h2>Explanation:</h2><h2 />
Hello! Remember you have to write complete questions in order to get good and exact answers. Here I could help you in a general way. Vertical Angles are those angles on opposite sides of intersecting lines They takes this name because they have the same vertex, or corner, at the intersection.
Vertical angles are always congruent, so this implies that they always have the same measure. From the figure below, we know that ∠1 and ∠3 are vertical and ∠2 and ∠4 are also vertical, therefore:
∠2 ≅ ∠4
Answer:
209.55in²
Step-by-step explanation:
Find area of sector CADE
Radius =22 in
Angle=90°
Formula to apply is ;
Ф/360 × π × r² where
Ф=angle of sector, π=3.142 and r =radius of circle
Find area of triangle CAD where base length is 22 inches and height is 22 inches
Area of triangle formula is;
1/2×b×h where b is base and h is height
Find area remaining
380.182-242=138.182in²
Find the area of sector CBDF
Radius=28in
Angle=60°
Formula to apply is ;
Ф/360 × π × r² where
Ф=angle of sector, π=3.142 and r =radius of circle
Area of triangle BDC
The formula to apply is
1/2×a×a×sinФ where a=28 inches and Ф=60°
Remaining area
410.55-339.48=71.075in²
Area created by overlapping circles
138.182+71.075=209.26in²