3. What do you call segments, rays, or lines that are added to a given diagram? Astronomy Use the following information for Exercises 4 and 5. An asterism is a group of stars that is easier to recognize than a constellation. One popular asterism is the Summer Triangle, which is composed of the stars Deneb, Altair,and Vega. 4. What is the value of y? 5. What is the measure of each angle in the Summer Triangle?

To solve for the value of , we need to use the fact that the sum of the angles in any triangle is 180 degrees. Given the angles in the triangle are (3y+13)°, (5x-3)°, and (2y+2)°, we can set up an equation to find .Step 1: Write the equation for the sum of the angles in the triangle.(3y + 13)° + (5x - 3)° + (2y + 2)° = 180°Since we are only solving for in Exercise 4, we can ignore the (5x - 3)° term for now.Step 2: Combine like terms.(3y + 2y) + (13 + 2) = 1805y + 15 = 180Step 3: Subtract 15 from both sides of the equation.5y = 180 - 155y = 165Step 4: Divide both sides by 5 to solve for .y = 165 / 5y = 33Answer for Exercise 4:The value of is 33.Now, let's find the measure of each angle in the Summer Triangle using the values of and . However, we do not have the value of , and it is not necessary to find the angles as we can express them in terms of alone.Step 5: Substitute into the expressions for each angle.First angle: (3y + 13)° = (3*33 + 13)° = 99 + 13 = 112°Second angle: (5x - 3)° - We cannot solve for this angle without the value of .Third angle: (2y + 2)° = (2*33 + 2)° = 66 + 2 = 68°Answer for Exercise 5:The measure of the first angle is 112°, and the measure of the third angle is 68°. We cannot determine the measure of the second angle without the value of .