Question

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Answer 1

Answer:

40°+z=180-112(sum of co int. angles )

z=28

y+68=180

y=112

x=180-112=68

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

ANSWER :-

Before Attempting the question let us know the properties of a Parallelogram:-

• The angles of parallelogram diagonally are always same
• There corresponding sides are same.
• Their corresponding sides are parallel.
• The diagonals are not equal in a parallelogram.
• The side angles of Parallelogram are supplementary.

Attempting the Question:-

$.$

For y:-

• As described, y angle is diagonal to angle which measures 112°.
• So, y will be 112°.

For Z,

• Side angles are supplementary ie sum is equal to 180°.

$z + 40 \: ^ \circ + 112 ^ \circ= 180^ \circ$

$z = 28^ \circ$

Now, x:-

$28 + 40 = x$

$68^ \circ = x$

Is the answer.