Question

please answer the (B) with correct answer and solution​

Answer 1

Answer:

Becuase opposite angles of parallelgram are equal :

y + 40 = 110

Hence y = 70

And 2x + 110*2 = 360

Hence x = 70

Now x+y+z+110 = 360

Hence z = 110

Answer 2

$\huge{\sf {\pink{Answer}}}$

x = 10°

y = 80°

z = 100°

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$\huge\sf\orange{Explanation :}$

We, know that the sum of co-interior angles is 180°

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10x + 8x = 180°

18x = 180°

x = 10°

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1st angle = 10x = 10 × 10 = 100°

2nd angle = 8x = 8 × 10 = 80°

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Again,

8x + z = 180°

80 + z = 180°

z = 180° - 80°

z = 100°

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z + y = 180°

100° + y = 180°

y = 180° - 100°

y = 80°

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$\huge\sf\green{More \: Information :}$

• Parallel lines : Lines that have equal distance throughout even after extension ,i.e. they never intersect.

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• Co - interior angle : In a parallel line the angle formed by the transverse on the lines in the inside are called co - interior angles.

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• Parallelogram : They are polygons which have parallel opppsite sides.

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[ Rectangles are also a type of parallelogram but all the angles of a rectangle are 90° ]