Question

Find the measure of the angle ABC in each of the following figures using property of the given figure A А B 120° 80° 60° 120° ABC 80 70 .​

Answer 1

Answer:

Solution

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(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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Step-by-step explanation: