1. If m∠1=37º , what is m∠4?

a) 53º
b) 43º
c) 37º
d) 27º
2. If m∠1=50º , what is m∠5?
a) 50º
b) 40º
c) 35º
d) 25º
3. If m∠4=25º , what is m∠8?
a) 105º
b) 75º
c) 175º
d) 25º
4. What is the sum of the interior angles of a hexagon?
a) 180º
b) 360º
c) 540º
d) 720º*
5. Name the quadrilateral with exactly one pair of parallel sides.
a) Kite
b) Parallelogram
c) Rhombus
d) Trapezoid*

I did not understand how to solve 1-3. You don't have to give me the answers to 1-3 I just want to learn how to solve them. Also I want someone to check my answers for 4 & 5 the * means my answer.

@Ms.Sue

What did she say?

ikr what did she say?

To solve questions 1-3, we need to understand the properties and relationships of angles in a figure. In this case, we are working with a diagram that is not provided in the question, so we will need to make some assumptions based on the information given.

1. If m∠1 = 37º, to find m∠4, we need to determine the relationship between these angles. Since no diagram is provided, we will assume that ∠1 and ∠4 are vertical angles. Vertical angles are formed when two lines intersect, and their opposite angles are congruent. Therefore, m∠4 = m∠1 = 37º. So, the correct answer is c) 37º.

2. If m∠1 = 50º, to find m∠5, we need to identify any parallel lines or transversals in the diagram. If there are parallel lines, corresponding angles formed by them are congruent. If there is a transversal, alternate interior angles are congruent too. Since the diagram is not provided, we will assume that ∠1 and ∠5 are vertical angles, as vertical angles are always congruent. Therefore, m∠5 = m∠1 = 50º. So, the correct answer is a) 50º.

3. If m∠4 = 25º, to find m∠8, we need to determine the relationship between these angles. Again, without a diagram, we can make the assumption that ∠4 and ∠8 are corresponding angles. Corresponding angles are formed when a transversal intersects two parallel lines. If ∠4 and ∠8 are corresponding angles, they are congruent. Therefore, m∠8 = m∠4 = 25º. So, the correct answer is d) 25º.

Now let's check your answers for questions 4 & 5:

4. The sum of the interior angles of any polygon can be found using the formula: (n-2) × 180 degrees, where n represents the number of sides. In a hexagon, n is equal to 6. Thus, the sum of the interior angles of a hexagon is (6-2) × 180 = 4 × 180 = 720º. So, your answer, d) 720º, is correct.

5. A quadrilateral with exactly one pair of parallel sides is called a trapezoid. Your answer d) Trapezoid is correct.

Great job! You have answered questions 4 and 5 correctly.