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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.

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.

The sum of the exterior angles of a hexagon is

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 ?

(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.

RD SHARMA-TRIANGLE AND ITS ANGLES-All Questions
  1. If A B C D is a rectangle with /B A C=32^@, find the measure of /D B C

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  2. In a parallelogram A B C D diagonals A C and B D intersect at O and A ...

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  3. State exterior angle theorem

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  4. If the side B C of A B C is produced on both sides, then write the...

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  5. In a triangle A B C , if A B=A C\ a n d\ A B is produced to D such tha...

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  6. The sum of two angles of a triangle is equal to its third angle. De...

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  7. In a rhombus A B C D , if /A C B=40^@, then /A D B=(a) 70^@ (b) 45...

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  8. if A B D E and B D F G such that /F G H=125^0 and /B=55^0, find x\ a...

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  9. side B C\ of A B C is produced to point D such that bisectors of /A ...

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  10. If all the three angles of a triangle are equal, then each one of t...

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  11. If two acute angles of a right triangle are equal, then each acute ...

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  12. An exterior angle of a triangle is equal to 100^0 and two interior ...

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  13. If one angle of a triangle is equal to the sum of the other two ang...

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  14. Side B C of a triangle A B C has been produced to a point D such th...

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  15. In A B C ,\ /B=/C and ray A X bisects the exterior angle /D A Cdot...

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  16. In a triangle, an exterior angle at a vertex is 95^0 and its one of...

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  17. If the sides of a triangle are produced in order, then the sum of t...

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  18. In A B C , if /A=100^0,\ A D bisects /A\ a n d\ /A D\ |B C . Then, /B...

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  19. An exterior angle of a triangle is 108^0 and its interior opposi...

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  20. In a A B C , if /A=60^0,\ /B=80^0 and the bisectors of /B\ a n d\ /C ...

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