x = 4 and x = - 9
In both cases the angles inside the parallel lines are same sided interior angles
24x - 1 + 20x + 5 = 180
44x + 4 = 180 (subtract 4 from both sides )
44x = 176 ( divide both sides by 44 )
x = = 4
Similarly
x + 109 + x + 89 = 180
2x + 198 = 180 ( subtract 198 from both sides )
2x = - 18
x = = - 9
Given that ABCD is a parallelogram, the sum of its interior angles is:
360°
A parallelogram is a rectilinear two-dimensional figure with four sides whose opposite sides are parallel. See the image attached.
<h3>What is the sum of the exterior angles of CHFE?</h3>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°.
<h3>Which sides are parallel to CE?</h3>The sides that are parallel to CE are:
FH
AD and
<h3>IJ.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.
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°
<h3>What is the measure of the exterior angles of a Regular Pentagon?</h3>The measure of the exterior angles of a regular pentagon is 72°
Learn more about Parallelograms at:
brainly.com/question/970600
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