Question

how many degrees is angle \x\ in this picture?

a 45^{\circ}
b 60^{\circ}
c 90^{\circ}
d 270^{\circ}

Explanation:

🆕 New Concept Discovered: Properties of Quadrilaterals
Identifying shapes using sides and angles

Step 1: Identify the shape

The image shows a four-sided shape (a quadrilateral) with several markings:

• Three of the corners have square symbols, which represent right angles (\(90^\circ\)).
• All four sides have a single tick mark, which means all four sides are equal in length (congruent).

A quadrilateral with four equal sides and four right angles is a square.

Step 2: Determine the missing angle

Since the shape is a square, all four of its interior angles must be right angles (\(90^\circ\)).

The angle labeled "\(x\)" (referred to as "\(z\)" in the question text) is the fourth corner of this square. Therefore, its measure must also be:

$$ 90^\circ $$

Answer:

C (\(90^\circ\))