Question
What is the measure of A?
- 75o
- 90o
- 900o
- 120o
Hint:
Sum of internal angles = (n-2) x 180
The correct answer is: 75o
A = 75
Here, number of sides = 7 =n
Sum of internal angles = (n-2) x 180 = 5 x 180 = 900
Sum of internal angles = 110 + 140+ 150 + 120 + A + 160 + 145
= 825 + A
=> 825 + A = 900
A = 750
Properties of polygons state several rules for solving such problems. Sum of internal angles = (n-2) x 180 degrees. sum of external angles of a polygon = 360 degrees.
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