3. In a given parallelogram HOPE . Find the angle measure x,y andEP270

1.	3. In a given parallelogram HOPE . Find the angle measure x,y andEP270
Answer» ANSWER: z = 30° , X = 110° and y = 40° Step-by-step explanation: Given , HOPE is a parallelogram. i ) ( Corresponding angles ) => 40° + z = 70° => z = 70° - 40° = 30° ---(1) ii ) (SUM of adjacent angles are SUPPLEMENTARY ) => x + 40° + z = 180° => x + 40° + 30° = 180° [ From (1) ] => x + 70° = 180° => x = 180° - 70° => x = 110° ------------(2) iii) z + y= 70° [ sum of interior opposite angles = Exterior angle] => 30° + y = 70° [ From (1) ] => y = 70° - 30° = 40° -----(3) Therefore., z = 30° , x = 110° and y = 40° •••♪ Explanation: please mark as Brainliest

Answer»

z = 30° , X = 110° and y = 40°

Step-by-step explanation:

Given , HOPE is a parallelogram.

i )

( Corresponding angles )

=> 40° + z = 70°

=> z = 70° - 40° = 30° ---(1)

ii )

(SUM of adjacent angles are SUPPLEMENTARY )

=> x + 40° + z = 180°

=> x + 40° + 30° = 180° [ From (1) ]

=> x + 70° = 180°

=> x = 180° - 70°

=> x = 110° ------------(2)

iii) z + y= 70°

[ sum of interior opposite angles = Exterior angle]

=> 30° + y = 70° [ From (1) ]

=> y = 70° - 30° = 40° -----(3)

Therefore.,

z = 30° , x = 110° and y = 40°

•••♪

Explanation:

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