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In DeltaABC,angleA=(angleB+angleC)/(3) a...

In `DeltaABC,angleA=(angleB+angleC)/(3)` and `angleB:angleC=2:1`.
Find the measure of each angle of `DeltaABC` and state the type of `DeltaABC`.

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The correct Answer is:
`angleA=45^(@),angleB=90^(@),angleC=45^(@)`; Isosceles right angled triangle
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KUMAR PRAKASHAN-LINE AND ANGLES-Skill Testing Exercise
  1. angleA and angleB are supplementary angles. If angleA:angleB=7:8, find...

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  2. angleA and angleB are complementary angles. If angleA=x+20^(@) and ang...

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  3. angleA and angleB are complementary angles. If angleA=angleB+20^(@), f...

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  4. angleX and angleY are supplementary angles. If angleX=5 angleY, find a...

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  5. angleP and angleQ are supplementary angles. If angleP=angleQ-40^(@), ...

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  6. In the following figure, l II m and t is their transversal. If angleXP...

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  7. In the following l II m and t is their transversal. If angleAXY=65^(@)...

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  8. In the following figure, t is the transversal of l and m. If angleAPQ=...

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  9. Ray AX is the bisector of angleBAC and ray AY is the bisector of angle...

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  10. Ray EX is the bisector of angleDEF and ray EY is the bisector of angle...

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  11. angleX and angleY are supplementary angles. If angleX:angleY=25:11, fi...

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  12. angleA and angleB are supplementary angles. If 4angleA=5angleB, find a...

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  13. In DeltaABC,angleA:angleB:angleC=3:4:5. Find the measure of each angle...

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  14. In DeltaABC,angleA=(angleB+angleC)/(3) and angleB:angleC=2:1. Find t...

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  15. Side BC of DeltaABC is extended on both the sides so that exterior ang...

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  16. angleACD is an exterior angle of DeltaABC and he bisector of angleA in...

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  17. For the figure given below, prove that angleADC=angleA+angleB+angleC.

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  18. In DeltaABC, the bisectors of angleB and angleC intersect each other a...

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  19. For the figure below, prove that angleCBE+angleADF=angleDAB+angleDCB.

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  20. Prove that the sum of angles of any convex quadrilateral is 360^(@).

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