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State exterior angle theorem...

State exterior angle theorem

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If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
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Exterior angle theorem: If a side of a triangle is produced; the exterior angle so formed is equal to the sum of the two interior opposite angles.

THEOREM (Exterior Angle Property of a Triangle): If a side of a triangle is produced the exterior angle so formed is equal to the sum of two interior opposite angles.

Knowledge Check

  • In a regular convex polygon, each interior angle in not more than each exterior angle is not more than each exterior angle. How many such polygons are possible ?

    A
    2
    B
    3
    C
    4
    D
    1

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    Theorem 6.8 : If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

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    (Exterior Angle Theorem): If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles. GIVEN : A triangle A B CdotD is a point of B C produced, forming exterior angle /_4. TO PROVE : /_4=/_1+/_2 i.e. , /_A C D=/_C A B+/_C B Adot

    Alternate exterior angles a pair of angles in which one arm of each of the angles is on opposite side of the transversal and whose other arms are directed in opposite direction and do not include segment PQ is called a alternate exterior angles.

    Discussion OF work sheet -1 || Triangle definition || Type OF Triangle|| Scalene Triangle Isosceles triangle || Equilateral triangle|| Acute angle triangle|| Right angle traingle Obtuse triangle || Some important theorem and their proOF example|| Exterior angle Theorem proOF

    Can the exterior angle of a polygon be three times its interior angle?

    Property 3 The sum of the interior (or exterior) angles on the same sides of the transversal is 180^(@). In other words the interior (or exterior) angles on the same side of the transversal are supplementary.

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