You are assembling pieces of an iron gate to complete a fence. the finished gate will look like the one below. in order to assemble the gate it is important to under how the pieces are related. part 1: how are pies 1 and 2 in the archway related? part 2: how are the rectangular sections 5 and 6 in the center of the gate related to each other?

 The answers are given below.

Step-by-step explanation:  Given that we are assembling pieces of an iron gate to complete a fence. The finished gate will look like the figure as given in the question.

Part 1: We can clearly see in the picture given that pieces 1 and 2 are placed at an angle of 90° to each other. Therefore, the pieces 1 and 2 are perpendicular to each other.

Part 2: Also, it can be seen that in the centre of the gate, the rectangular sections 5 and 6 are placed at an angle of 0° to each other. Therefore, sections 5 and 6 are parallel to each other.

Thus, 1 and 2 are perpendicular;  5 and 6 are parallel to each other.

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°