The Triangle and Its Properties
Exercise 6.2
1). Find the value of the unknown exterior angle x in the following diagrams:
i).
the sum of interior opposite angles = exterior angle
500 + 700 = x
1200 = x
x = 1200
ii).
the sum of interior opposite angles = exterior angle
650 + 450 = x
1100 = x
x = 1100
iii).
the sum of interior opposite angles = exterior angle
300 + 400 = x
700 = x
x = 700
iv).
the sum of interior opposite angles = exterior angle
600 + 600 = x
1200 = x
x = 1200
v).
the sum of interior opposite angles = exterior angle
500 + 500 = x
1000 = x
x = 1000
vi).
the sum of interior opposite angles = exterior angle
300 + 600 = x
900 = x
x = 900
2). Find the value of the unknown interior angle x in the following figures:
i).
the sum of interior opposite angles = exterior angle
500 + x = 1150
x = 1150 – 500
x = 650
ii).
the sum of interior opposite angles = exterior angle
700 + x = 1000
x = 1000 – 700
x = 300
iii).
the sum of interior opposite angles = exterior angle
900 + x = 1250
x = 1250 – 900
x = 350
iv).
the sum of interior opposite angles = exterior angle
600 + x = 1200
x = 1200 – 600
x = 600
v).
the sum of interior opposite angles = exterior angle
300 + x = 800
x = 800 – 300
x = 500
vi).
the sum of interior opposite angles = exterior angle
350 + x = 750
x = 750 – 350
x = 400
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