Math Problem Statement
Help me answer this question
In the figure below not drawn to scale, ABCE is a parallelogram. Find angle ADC.
Solution
We are given a parallelogram , and we need to find the measure of .
Step-by-Step Solution:
-
Parallelogram Properties:
In a parallelogram, opposite angles are equal, and consecutive angles are supplementary. Also, adjacent angles on a straight line sum to 180°. -
Identify :
- We are given that and . Since is a parallelogram, the interior angles and are supplementary: So: Therefore, and sum up to ( 180^\circ ( to fill
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Math Problem Analysis
Mathematical Concepts
Geometry
Parallelogram Properties
Angle Relationships
Formulas
Sum of interior angles of a parallelogram is 360°
Adjacent angles on a straight line sum to 180°
Theorems
Opposite angles of a parallelogram are equal
Consecutive angles in a parallelogram are supplementary
Suitable Grade Level
Grades 8-10