Question

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donttake away points

Answer 1

Answer:

the sum of number 40 be x

Angel EFGH is a parallelogram.

⇒ ∠FGH+FGK=180

o

[ Linear pair ]

⇒ ∠FGH+70

o

=180

0

∴ ∠FGH=110

o

⇒ ∠FGH=∠FEH=110

o

[ Opposite angles of a parallelogram are equal ]

∴ x=110

o

⇒ ∠EHG+∠FGH=180

o

[ Sum of adjacent angles of parallelogram is 180

o

. ]

⇒ ∠EHF+∠FHG+∠FGH=180

o

⇒ 40

o

+z+110

o

=180

o

⇒ z+150

o

=180

o

∴ z=30

o

⇒ ∠EHG=40

o

+z=40

o

+30

o

=70

o

⇒ ∠FHG+∠HGF+∠GFH=180

o

[ Sum of angles of triangle is 180

o

]

⇒ 30

o

+110

o

+y=180

o

⇒ 140

o

+y=180

o

∴ y=40

o

We get, x=110

o

,y=40

o

,z=30

o