Given:
θ = 60°
Radius = 8 in
To find:
The area of the shaded segment.
Solution:
Vertically opposite angles are congruent.
Angle for the shaded segment = 60°
<u>Area of the sector:</u>
A = 33.5 in²
Area of the sector = 33.5 in²
<u>Area of triangle:</u>
A = 32 in²
Area of the triangle = 32 in²
Area of segment = Area of sector - Area of triangle
= 33.5 in² - 32 in²
= 1.5 in²
The area of the shaded segment is 1.5 square inches.
Answer:
angle 1 = 83°
angle 2 = 88°
Step-by-step explanation:
angle 1 and angle on vertex B are
pair of co interior angles ( whose sum = 180° )
so, angle 1 + angle B = 180°
angle 1 = 180° - angle B
angle 1 = 180° - 97° = 83°
hence, angle 1 = 83°
but, angle 2 and exterior of vertex A forms alternate interior angle pair ,
so , angle 2 = angle A = 88°
i hope you got it ....
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