Question

angles of quadrilateral are4x°,5(x+2)°,(7x-20)°and 6(x+3)°find value of x​

Answer 1

Answer:

The value of x = 16° and four angles of quadrilateral = 64°, 90°, 92° and 114°.

Step-by-step explanation:

We have,

The given four angles of quadrilateral=(4x)°, 5(x + 2)°, (7x - 20)° and 6(x + 3)°

To find, the value of x = ? and each angle of the quadrilateral = ?

We know that,

Sum of all angles of a quadrilateral = 360 °

∴ (4x)°+ 5(x + 2)° + (7x - 20)° + 6(x + 3)° = 360 °

⇒ 4 x+ 5x + 10° + 7x - 20° + 6x + 18° = 360 °

⇒ 22x + 8° = 360 °

⇒ 22x = 360 ° - 8°

⇒ 22x = 352 °

⇒ =16°

The value of x = 16°

Each angle of the quadrilateral,

∴ (4x)° = 4 × 16° = 64°,

5(x + 2)° = 5( 16° + 2)° = 5 × 18° = 90°,

(7x - 20)° = 7 × 16° - 20° = 112° - 20° = 92° and

6(x + 3)° = 6( 16° + 3)° = 6 × 19° = 114°

Hence, the value of x = 16° and four angles of quadrilateral = 64°, 90°, 92° and 114°.

Step-by-step explanation:

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Answer 2

Sorry my answer was wrong