Question

Find the value of x.​

Answer 1

Step-by-step explanation:

According to Universal rules of Quadrilaterals, All diagonals in a rectangle are equal and both diagonals bisect each other.

We can say that,

• AC = BD

Multiplying both sides by 1/2,

• ➠ 1/2 × AC = 1/2 × BD

Can be written as,

• ➠ AO = BO ---[1]

In ∆ AOB,

• AO = BO ---[1]

By Angle opposite to equal sides are equal,

• Angle OAB = Angle OBA

As given,

• Angle OAB = 18°

We can say that,

• Angle OBA = Angle OAB = 18°
• Angle OBA = 18° ---[2]

According to Universal rules of Quadrilaterals. All angles of a rectangle are right angle [90°].

We can say that,

• Angle ABC = 90° ---[3]

As given in figure,

• Angle ABC = Angle OBC + Angle OBA

By [2] and [3],

• ➠ 90° = x + 18°

Finding the value of x,

• ➠ 90° = x + 18°
• ➠ x = 90° - 18°
• ➠ x = 72°

Therefore,

• The value of x is 72°.

Finalized Answer:

• The value of x is 72°.

Answer 2

Question:-

Find the value of x.

Given:-

• ∠AOB = 18°.

To Find:-

• Value of the x.

Solution:-

[Refer to the above attachment]

Answer:-

[Refer to the above attachment]

Hope you have satisfied. ⚘