Question

The measure of angles of a Quadrilateral are x°, (x-5)°, (x-5)°, (2x-5)°. Find value of x

Answer 1

$\large{\underline{\red{\textrm{To Find}}}}$

• value of x

$\huge{\underline{\blue{\textrm{Solution}}}}$

Sum of all angles of quadrilateral = 360°

⟶ x + (x - 5) + (x - 5) + (2x - 5) = 360

⟶ x + x - 5 + x - 5 + 2x - 5 = 360

⟶ 5x - 15 = 360

⟶ 5x = 360 + 15

⟶ 5x = 375

⟶ x = 375/5

⟶ x = 75

Hence

• value of x is 75

━━━━━━━━━━━━━━━━━━━━━━━━━

Answer 2

Answer :

➥ The value of x = 75

Given :

➤ The measure of angles of a Quadrilateral = x°, (x-5)°, (x-5)°, (2x-5)°.

To Find :

➤ The value of x = ?

Required Solution :

For solving this question, let's first know about Quadrilateral.

A quadrilateral is a plane figure.

• A quadrilateral has 4 sides or edges.
• A quadrilateral has 4 corners or vertices.
• A quadrilaterals will typically has shapes with four sides like rectangle, square, trapezoid.
• Sum of all angles of a quadrilateral is360°.

✎ Let's solve this question...$\:$

As we know that

Sum of all angles of quadrilateral = 360°

⇛ x + (x - 5) + (x - 5) + (2x - 5) = 360

⇛ x + x - 5 + x - 5 + 2x - 5 = 360

⇛ 5x - 5 - 5 - 5 = 360

⇛ 5x - 15 = 360

⇛ 5x = 360 + 15

⇛ 5x = 375

⇛ x = 375/5

⇛ x = 75

║Hence, the value of x is 75.║