Question

the angles of a quadrilateral are equal and its fourth angle is a right angle find the measure of each​

Answer 1

Correct Question :

Three angles of a quadrilateral are equal and its fourth angle is a right angle. find the measure of each​ angle.

Answer:

The measure of each angle is 90°

Step-by-step explanation:

Given :

• Three angles of a quadrilateral are equal
• Fourth angle is a right angle

To find :

• the measure of each angle

Solution :

Let the measure of each angle of the three angles be x°

    Fourth angle = 90°

Concept :

The sum of all the four interior angles of the quadrilateral = 360°

    x° + x° + x° + 90°= 360°

    3x° + 90°= 360°

     3x° = 360° - 90°

      3x° = 270°

       x° = 270°/3

        x° = 90°

The measure of each angle is 90°

• All the four angles of the quadrilateral are equal

        i.e., 90°

Since each angle is 90° , the quadrilateral is a square.

Verification :

 Add up all the angles and check if it equals 360°

    90° + 90° + 90° + 90° = 360°

      360° = 360°

       LHS = RHS

Hence verified!