4 grey polygons join together as shown in the diagram calculate the size of angle b
Answers
Given: 4 grey polygons join together as shown in the diagram
To find : size of angle a & b
Solution:
Angle of a regular polygon = 180°(n - 2)/n
Each Angle of pentagon = 180°(5 - 2)/5
= 108°
=> ∠a = 108°
Each Angle of triangle = 180°(3 - 2)/3 = 60°
Angle at center would be 360°
=> 108° + 60° + 60° + angle of triangle formed = 360°
=> angle of triangle formed = 132°
small triangle & pentagon has one side in common
hence their sides are equal
=> sides of triangle formed are equal
=> two angles = b
b + b + 132° = 180°
=> 2b = 48°
=> b = 24°
∠a = 108° & ∠b = 24°
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Answer:
a= 108
b= 24
Step-by-step explanation:
maths