find the angle measure
A regular pentagon with one angle x and find the other angles
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Find the angle measure of x in the following figures.
463360
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Answer
(a)
Sum of all interior angles of quadrilateral =360
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∴50+130+120+x=300
x=60
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(b)
90+a=180
a=90
Sum of all angles of quad =360
x+70+60+90=360
x=140
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(c)
70+a=180 (Linear pair)
a=110
60+b=180 (Linear pair)
b=120
Sum of measures of all angles of pentagon =540
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∴120+110+x+x+30=540
2x=280
x=140
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(d)
Sum of all angles of pentagon 540
Given all angles are equal
∴5x=540
x=108
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