Answer:
15. BE = 37.5
16. AD = 62.4.
17. ED = 37.5
18. Angle CDA=79 degrees
19. Angle BCD= 101.
20. Angle DAB=101.
Step-by-step explanation:
For problems 15-20, you'll use geometry theorem the definition of a parallelogram which says they have two pairs of equal parallel sides, equal opposite angles and that the diagonals in any parallelogram bisect each other into equal segments.
15. BE is half of 75. BE = 37.5
16. Since BC = 62.4 then AD = 62.4.
17. ED is half of 75. ED = 37.5
18. 79 degrees
19. Parallelograms add to 360 degrees so if two angles are 79 then 360-79-79 = 202 which is split equally in the other two angles. 202/2 =101. Angle BCD= 101.
20. Angle DAB is equal to Angle BCD so Angle DAB=101.
If you continue the top ray down to the lower our the two lines you create an angle that it's an exterior angle of a triangle and it's also a corresponding angle to the 110° angle. since corresponding angles are congruent this angles is also 110°. this angle makes a linear pair with the angle to it left, the lower right angle on the triangle. linear pairs add to 180° so the angle has to be 70°. the lower left angle of this triangle is given as 37°. since the 3 angles of a triangle must add to 180° , the top angle has to be 180-(70+37)=73. since the top angle of the triangle makes a linear pair with the angle in question, our angle has to be 180-73=107°
5.319 to 5.3
To the right of the decimal the places are tenths, hundredths, thousandths etc.
Since 3 is in the tenths place it is rounded to the nearest tenth.
I hope this helps!