. Use the following images to answer the question: O a. Write a truth statement about each picture using Euclidean postulates. b. Write the matching Euclidean postulate. c. Describe the deductive reasoning you used.Use the following image to answer the questions below: 60 120 m a. Based on the picture, what properties can you be sure this figure has? Think about angles, lines, and intersections. b. Are / and m parallel? Explain your thinking. c. What would you need to do to prove that / and m are parallel?Two bikers meet at a park. Biker A needs to stop at the store that is 12 miles east of the park. Biker B heads southeast at a 61 angle at the same time for 24 miles. Once biker A leaves the store he heads southwest at an angle of 89 for 21 miles. Do NOT use the law of cosines, use your knowledge from the content of this course. a. Use your knowledge of triangles to figure out if the two bikers will be able to meet up if each biker travels the distance given. b. If they do not meet up, how much farther would one of the bikers have to travel to meet the other? c. What is the measure of the angle between the bikers? d. What is the relationship between the measure of the angles and the paths the bikers took? e. Classify the triangle the paths created. f. How many miles did they travel together?A cable-stayed bridge is similar to a suspension bridge, but is more efficient for medium distances. In this design of bridge, there are two towers, and strong cables attach to the tops of the towers and the sides of the bridge. Assume the bridge is perpendicular to the two towers. D C BA a. Angle A is 35 degrees. Explain how you can find the measure of angles B, C, and D. (Hint: all angles in a triangle add to 180 degrees.) Can you find the measure of every angle on the bridge? b. The four shortest cables are 115 meters long. Each successive cable is 32 meters longer than the one below it. How much cable is needed to make the bridge?Use this table as a reference to answer the questions below. Name of Polygon Regular Convex Polygon Number of Sides Number of Angles Measure of Each Interior Angle Measure of Each Exterior Angle A 15-gon B 16-gon C 17-gon D 18-gon 19-gon F 43-gon G 44-gon H 45-gon 46-gon 47-gon1. Using the polygon table as a reference, list all of the polygons that have interior angles that are whole numbers (a number that is not a fraction or a decimal)? Explain why it is that way. B i U Font Family AA A EEB 2. What happens to the measure of the interior angles as the number of sides of the polygon increases? Explain your answer.3. What happens to the measure of the exterior angles as the number of sides of the polygon increases? Explain your answer. B i U Font Family AA A 4. Explain what happens to the total sum of interior angles as the number of sides in the polygon changes.5. Explain what happens to the total sum of exterior angles as the number of sides in the polygon changes