Question

5. In the given figure, find x. Х (x+20) (x+10); x+ O B А 1800​

Answer 1

Answer:

Step-by-step explanation:

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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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