2. Find the measure of angle x in the following figures, with C as the center.
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2. Find the measure of angle x in the following figures, with C as the center.
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Answer:
∴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
0
(c)
70+a=180 (Linear pair)
a=110
60+b=180 (Linear pair)
b=120
Sum of measures of all angles of pentagon =540
0
∴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
0