*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°
The answer is Vertical angles are equal.
Answer:
40 steps downwards
Step-by-step explanation:
The solved inequality is t > 12.
Divide both sides by 9 to isolate the variable.
9t becomes t, and 108 becomes 12.
<u>We do not flip the sign because we are dividing by a </u><u>positive</u><u>.</u>
Answer:
15
Step-by-step explanation:
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