Answer:
The correct option is C) 5, 5/2
The sequence given is:
80, 40, 20, 10, _____, ______
If we look at the given numbers, it appears that every next number is obtained by dividing the previous number of 2.
Like 40 is obtained by dividing 80 by 2
Similarly:
Therefore, the complete sequence is:
80, 40, 20, 10, 5, 5/2
Hence the correct option is C) 5, 5/2
*see attachment for the missing figure
Answer:
Angle ADE = 45°
Angle DAE = 30°
Angle DEA = 105°
Step-by-step explanation:
Since lines AD and BC are parallel, therefore:
Given that angle Angle CBE = 45°,
Angle ADE = Angle CBE (alternate interior angles are congruent)
Angle ADE = 45° (Substitution)
Angle DAE = Angle ACB (Alternate Interior Angles are congruent)
Angle ACB = 180 - 150 (angles on a straight line theorem)
Angle ACB = 30°
Since angle DAE = angle ACB, therefore:
Angle DAE = 30°
Angle DEA = 180 - (angle ADE + angle DAE) (Sum of angles in a triangle)
Angle DEA = 180 - (45 + 30) (Substitution)
Angle DEA = 180 - 75
Angle DEA = 105°
