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Two angles of a triangle are equal and the third angle is greater than each of those angles by `30^0` Determine all the angle of the triangle.

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To solve the problem, we need to determine the angles of a triangle where two angles are equal and the third angle is greater than each of those angles by \(30^\circ\). ### Step-by-Step Solution: 1. **Define the Angles:** Let the two equal angles be \(H\) degrees each. The third angle, which is greater than the equal angles by \(30^\circ\), can be expressed as \(H + 30^\circ\). \[ ...
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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. If one angle of a triangle is equal to the sum of the other two, sh...

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  2. Suppose line segments A B and C D intersect at O in such a way that A ...

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  3. Two angles of a triangle are equal and the third angle is greater th...

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  4. If D is the mid-point of the hypotenuse A C of a right triangle A B C ...

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  5. In triangle A B C ,/B=45^0,/C=55^0 and bisector of /A meets B C at ...

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  6. A B is a line segment, A X and B Y are two equal line segments drawn o...

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  7. In Figure, if AB||DE ,/B A C=35^0 and /C D E=53^0 , find /D C E.

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  8. l and m are two parallel lines intersected by another pair of parall...

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  9. (Exterior Angle Theorem): If a side of a triangle is produced, the e...

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  10. Two triangles are congruent if include two angles and the included s...

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  11. A ,B ,C are three angles of a triangle. If A-B=15^0,B-C=30^0, find /A...

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  12. In the figure, diagonal A C of a quadrilateral A B C D bisects the ang...

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  13. In a triangle A B C ,/A B C=/A C B and the bisectors of /A B C and /...

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  14. In Figure, /B C D=/A D C and /A C B=/B D Adot Prove that A D=B C and /...

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  15. If each angle of a triangle is less than the sum of the other two, ...

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  16. In two right triangles, one side and an acute angle of one triangle...

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  17. If Figure, if Q T|P R ,/T Q R=40^0 AND /S P R=30^0, find x and ydot F...

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  18. If D is any point on the base B C produced, of an isosceles triangle A...

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  19. sides Q P and R Q of P Q R are produced to point S and T respectively....

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  20. Show that in a right triangle the hypotenuse is the longest side. GI...

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