Quadrilateral B: Angle A: 60° Angle B: 120° Angle C: 60° Angle D: 120° Type of Quadrilateral?

To determine the type of quadrilateral based on its angles, let's first understand the properties of quadrilaterals. A quadrilateral is a four-sided polygon, and the sum of its interior angles always equals 360°.
Here, the given angles are:

Angle A: 6 0 ∘
Angle B: 12 0 ∘
Angle C: 6 0 ∘
Angle D: 12 0 ∘

Adding these angles together:
6 0 ∘ + 12 0 ∘ + 6 0 ∘ + 12 0 ∘ = 36 0 ∘
Since the sum of the angles is indeed 360°, this confirms that it is a valid quadrilateral.
The given angles suggest that the quadrilateral has two pairs of equal angles:

Two angles are 6 0 ∘
Two angles are 12 0 ∘

This angle configuration is characteristic of a specific type of quadrilateral called a kite .
In a kite, two pairs of adjacent sides are equal, and one pair of opposite angles (the angles between the unequal sides) are equal. For the kite in this case, the angles between the pairs of equal sides are 12 0 ∘ each, while the other angles, which are between different vertices, are 6 0 ∘ each.
Thus, quadrilateral B with its given angles is a kite.

Answered by LiamAlexanderSmith | 2025-07-22