Question

A quadrilateral has all its four angles of the same measure. What is the measure of each?
(1 Point)

90°

100°

110°

120°​

Answer 1

Answer:

90°

Step-by-step explanation:

A quadrilateral is a figure which has 4 sides and 4 angles.

Concept used:

In a quadrilateral, the sum of all angles = 360°

In this question,

• All 4 angles are equal.

Solution:

Let each angle be equal to x.

x° + x° + x° + x° = 360°

→ 4x° = 360°

→ x° = 360° ÷ 4

→ x° = 90°

This means that each angle in the quadrilateral is 90°.

KNOW MORE:

• Any quadrilateral can be divided into 2 triangles. Apply Angle sum Property to each triangle.

Then, the total sum of angles = 2 × 180° = 360°.

This is how the sum of angles in a quadrilateral can be taken as 360°.

Answer 2

Answer:

90

Step-by-step explanation:

because sum of all angles in a quadrilateral is 360°

then 4x =360°

X =90°