Answer:
Perimeter of a square that measure 5.35 on one side is, 21.4 cm
Step-by-step explanation:
Perimeter of a square is the total length of the boundary of a square.
It is given by:
......[1] where
P represents the perimeter of square,
a represents the side of square.
Given: a = 5.35 cm
Substitute this value in [1] we get;
P = 4(5.35) = 21.4 cm
therefore, the perimeter of a square is, 21.4 cm
*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°
