Given that ABCD is a parallelogram, the sum of its interior angles is:
360°
What is a parallelogram?
A parallelogram is a rectilinear two-dimensional figure with four sides whose opposite sides are parallel. See the image attached.
What is the sum of the exterior angles of CHFE?
The sum of the exterior angles of any Triangle or any polygon is 360°. Hence, the sum of the exterior angles of CHFE (a polygon) is 360°.
Which sides are parallel to CE?
The sides that are parallel to CE are:
FH
AD and
IJ.
Which side is perpendicular to CE?
The side that are perpendicular to CE is side side HH, hence we can state that:
CE ⊥ EH, because both lines intersect each other at right angles.
What is the sum of ∠C and ∠H?
Because the sum of angles in a triangle is 180° and we already have ∠CEH to be equal to ∠90° hence,
∠C + ∠H? = 180° - 90°
= 90°
What is the measure of the exterior angles of a Regular Pentagon?
The measure of the exterior angles of a regular pentagon is 72°
Learn more about Parallelograms at:
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