Question

Find the value of the variables and the numbered angles if the given figure is...

Answer 1

Answer:

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Answer 2

Answer 1 :-

Given :-

• A rectangle,
• Diagonals meet each other.
• 2x + 10
• 3x - 16

To find :-

• Value of variable and Numbered angle.

Solution:-

Let Meating point be O and Triangle COD's one unknown angle be x. We know that sum of all angle of triangle is 180°.

So,

》x + 2x + 10 + 3x - 16 = 180°

》6x - 6 = 180°

》6x = 180° + 6

》6x = 186°

》x = 186/6

》x = 31

So, value of x is 31°.

Finding all given angles :-

Putting values of x.

= 2x + 10 = 2(31) + 10= 72°

= 3x - 16 = 3(31) - 16 = 77°

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Answer 2 :-

Given :-

• A Rhombus
• Diagonals meet each other
• 3x + 6°
• 8x + 7°

To find :-

• Value of variable and Numbered angle.

Solution :-

Let Meating point be O and Triangle COD's one unknown angle be x. We know that sum of all angle of triangle is 180°. The triangle COD is Right Angled Triangle. So, value of x will be 90°

So,

》x + 3x + 6° + 8x + 7° = 180°

》90° + 11x + 13° = 180°

》11x + 103° = 180°

》11x = 180° - 103°

》11x = 77°

》x = 77/11

》x = 7°

So, value of x is 7°.

Finding all given angles:-

Putting the value of x.

= 3x + 6° = 3(7) + 6° = 21 + 6 = 27°

= 8x + 7° = 8(7) + 6° = 56 + 6 = 62°