For a craft project, two equilateral triangles are taped together to create a quadrilateral. 2 equilateral triangles are connected at one side to create a quadrilateral with congruent side lengths.

What is the quadrilateral?

rhombus
rectangle
trapezoid
square

The quadrilateral formed by the taping together of two equilateral

triangles is a rhombus.

The given types of triangles that form the quadrilateral are equilateral

triangles.

Given that the triangles have congruent side lengths, we have;

1) The side lengths of the quadrilateral formed are equal.

2) A pair opposite angles of the quadrilateral formed are equal to the interior angle of an equilateral triangle which is 60°.

3) The other pair of opposite angles are also equal to 60° + 60° = 120°.

The altitude of an equilateral triangle is perpendicular to the base.

Which gives;

4) The diagonals bisect each other at right angles.

Therefore;

The adjacent angles are supplementary

Which gives;

5) The opposite sides are parallel.

The above properties are the properties of a rhombus

Therefore;

Learn more about rhombus here:

link

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°