Question

find the value of x and y and z from the given figure​

Answer 1

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We know that, The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary.

So let's find z first.

(40 + 112 + z)° = 180°

→ 152° + z = 180°

→ z = 180° - 152°

→ z = 28°

We also know that alternate interior angles are equal.

That gives us

x = z

→ x = 28°

We also know that opposite angles of a parallelogram are equal.

→ y = 112°

∴ x = 28°, y = 112°, z = 28°

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Answer 2

Answer:

x = z = 28 degree ,  y = 112 degree

Step-by-step explanation:

x = z by alternate angles

1st angle = 3rd angle = y = 112 degree (alternate angles of parallelogram)

2nd angle = 4th angle = 40 + x (alternate angles of parallelogram)

We know that the sum of angles of a quadrilateral is 360 degree

= y + 40+x + 40+x + 112 = 360

= 112 + 40+x + 40+x + 112 = 360

= 80 + 2x +224 = 360

= 2x = 360 - 304

= 2x = 56

= x = z = 28 degree

y=112 degree

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