Answer: By the parallelogram angle theorem, opposite angles of a parallelogram are congruent. Therefore, angle T must be congruent to angle G, and angle G must be congruent to angle L. By the transitive property of congruence, angle T is congruent to angle L.
Step-by-step explanation: This is the sample response on Edge.
Both parallelograms are <L ≅ < T
Because, by the parallelogram angle theorem, opposite angles of a parallelogram are congruent.
Given parallelograms, GHLJ and GSTU such the parallelogram GSTU is inscribed inside parallelogram GHLJ with angle G coinciding on the two parallelograms.
Therefore, angle T must be congruent to angle G, and angle G must be congruent to angle L. By the transitive property of congruence, angle T is congruent to angle L.
Therefore, ∠L ≅ ∠T
A parallelogram is a two-dimensional geometrical shape, whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.
Parallelograms are shapes that have four sides with two pairs of sides that are parallel. The four shapes that meet the requirements of a parallelogram are square, rectangle, rhombus, and rhomboid.
Rectangles, rhombus, and squares are parallelograms. A trapezoid has at least one pair of parallel sides. The parallel sides are called the bases and the non-parallel sides are called the legs. There are three types of trapezoid - isosceles, right-angled, and scalene trapezoids.
To learn more about the parallelogram, refer
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