Robert has 96 balloons and 72 pieces of candy to make gift bags for his party. how many gift bags can he make if he wants to use all of the balloons and all of the candy?

  24

Step-by-step explanation:

The greatest common divisor of 72 and 96 is 24. Robert can make any number of bags that is a divisor of 24. If he wants to make the largest number possible, then he can make 24 bags with 4 balloons and 3 pieces of candy in each one.

__

  72 = 2³·3²

  96 = 2⁵·3

The greatest common divisor is the product of the common factors: 2³·3 = 24.

1). angle 3= 48° [by vertically opposite angle]

2). angle 4 = 132° [by linear pair]

3). angle 5 = 50° [angle 6 and angle 5 are complementary angles]

4). angle 8 =36° [angle 7 and angle 8 are complementary angles]

5). angle 6 = 31° [sum of angle on straight line is 180°]

6). angle 8=33° [sum of angles on straight line is 180°]

7). angle 9=40° [sum of angles of triangle is 180°]

8). angle 3= 30°[angle 9 and 12 are linear pair and 9 is part of the triangle. so, sum of all angle of triangle is 180° ]

9). angle 15= 80° [sum of angles of triangle is 180°]

10). angle 8=35° [sum of angles of triangle is 180°]

11). angle 7=66°[sum of angles of triangle is 180°]

12). angle 14=105° [Sum of angles of triangle is 180°]

13). angle 12=130°[by sum of angle is 180°we'll find 9 then by linear pair angle 12= 130°]

14). angle 8=55° [ angle 14 and 16 are equal by vertically opposite angles and angle 14+angle 8+angle 3=180°]

15). angle 15=90°[first find 7 and 9 by sum of 90°and sum 180° then sum of angles of triangle is180°]

16). angle 16=95°[angle 7 and 8 are complementary angles and angle 1 and 3 are equal by vertically opposite angles now we have our two angles of the triangle so we can find third angle because sum of angle of triangle is 180°]