The largest measure of angle is angle ∠ F due to opposite angle of largest side .
What is a Triangle?
A triangle is defined as simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes, it is represented by the symbol of Δ and consists of three connected vertices. Triangles can be categorized into a number of different varieties according on their sides and angles.
A triangle has three sides, three vertices, and three interior angles.
The angle sum property of a triangle states that the sum of the three interior angles of a triangle is always 180°
In ΔDEF,
Side DE is opposite of angle ∠ F
Side DF is opposite of angle ∠ E
Side EF is opposite of angle ∠ D
The sides in order from longest to shortest : Side DE > Side EF = Side DF
The longest side is always opposite of the largest angle, and the smallest side is always opposite of the smallest angle.
Hence, the angle in order from longest to shortest : angle ∠ F > angle ∠ D > angle ∠ E
Thus, the largest measure of angle is angle ∠ F.
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