Question

Find the values of x and y in the given figure.
please no irrelevant answers my friends! Please! ​

Answer 1

Answer

The following figure is a trapezium. We get 180° when we add the angles on the same side of the transversal in a trapezium. Keeping that in mind let's find 'x' and 'y'.

⇒ 85° + x = 180°

⇒ x + 85° - 85° = 180° - 85°

⇒ x = 95°

⇒ y + 110° = 180°

⇒ y + 110° - 110° = 180° - 110°

⇒ y = 70°

Sum of all interior angles in a quadrilateral is 360°. Let's check if the values of 'x' and 'y' along with the other given values form a quadrilateral.

⇒ 85° + 110° + 95° + 70°

⇒ 360°

∴ x = 95° and y = 70° in the given figure.

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Additional Information

A simple closed figure is known as a polygon.

There are two types of polygons. There are ⇒

• Regular Polygon → All sides and angles are equal.
• Irregular Polygon → All sides and angles are not equal.

Quadrilateral is a polygon with 4 sides and the sum of the angles is 360°

We have six main quadrilaterals in mathematics. They are ⇒

• Parallelogram
• Kite
• Rhombus
• Trapezium
• Rectangle
• Square

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Answer 2

Question:-

Find the values of x and y in the given figure.

In the figure, on the same side of a transversal When we add the two angles add up to 180°

So, let's find two angles given X and Y

Let's find 'X' first

=》 85° + X° = 180 °

=》X ° = 180 ° - 85°

=》X ° = 95 °

•°• We got the value of " X" as 95°

Let's Find the value of 'Y' secondly

=》 Y° + 110 ° = 180 °

=》 Y = 180 °- 110°

=》 Y = 70°

•°• We got the value of Y as 70°

Know more!

1. We know that in a quadrilateral the interior angle sum up to 360° (a complete rotation)

So, if we add the four values and get 360° as answer then our answer is all right

Quick check

=》70° + 95 ° + 85 ° + 110 ° = 360 ° [ As we know sum of a quadrilateral is 360 °]

=》360 ° = 360 °

LHS = RHS

•°• Our answer is right that is X is 95 ° and Y is 70 °

a quadrilateral with one pair of sides parallel.

Do trapezium have parallel side ?

According to the definition of trapezium, it is a quadrilateral with one pair of parallel sides. Thus, a trapezium does have parallel sides.