Question

In the rectangle, the two angles X : y are in the ratio 4:5.find the x & why..​

Answer 1

Answer:

x=40 y=50

Step-by-step explanation:

90 + x + y = 180 => x + y = 90

x and y are in the ratio 4 : 5

4a+5a=90 => 9a=90 => a=10

therefore, x=4a => x=40

y=5a => y= 50

Answer 2

Your Question:-

↦ In the rectangle, the two angles x and y are in the ratio 4:5. Fiind the value of x & y.

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AnswEr:-

Your Answer Is x =40° And y = 50°.

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ExplanaTion:-

Given:-

• A rectangle in which angle x and y are in ratio 4:5.

To Find:-

• The value of x and y.

Concept Used:-

↦ Angle Sum property of a triangle:- Sum of all interior angles of a triangles is always 180°.

So here Angle ADC = 90° Because each angle of a rectangle is always equal to 90°.

Also the ratio of x and y is given = 4:5.

So let the value of x and y be 4p and 5p respectively.

Therefore,

↦ 90° + x + y = 180°.

[Angle Sum Property of a Triangle].

↦ 90° + 4p + 5p = 180°.

↦ 9p = 180° - 90°.

↦ 9p = 90°.

↦ p = 90°/9.

↦ p = 10°.

So,

↦ x = 4p = 4 × 10° = 40°.

↦ y = 5p = 5 × 10° = 50°.

Therefore the required value of x and y are 40° And 50° Respectively.