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The angle between the altitudes of a ...

The angle between the altitudes of a parallelogram, through the same vertex of an obtuse angle of the parallelogram is `60^0dot` Find the angles of parallelogram.

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To find the angles of the parallelogram given that the angle between the altitudes through the same vertex of an obtuse angle is \(60^\circ\), we can follow these steps: ### Step 1: Understand the Properties of a Parallelogram A parallelogram has opposite angles that are equal, and adjacent angles are supplementary (i.e., they add up to \(180^\circ\)). If we denote the angles of the parallelogram as \(A\) and \(B\), we have: - \(A + B = 180^\circ\) - \(A = A\) (opposite angles are equal) - \(B = B\) (opposite angles are equal) ...
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RD SHARMA-UNDERSTANDING PHASE-III (SPECIAL TYPES OF QUADRILATERALS)-All Questions
  1. In a parallelogram A B C D , the diagonals bisect each other at Odot I...

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  2. Find the angles marked with a question mark shown in Figure:

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  3. The angle between the altitudes of a parallelogram, through the sam...

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  4. In Figure, A B C D\ a n d\ A E F G are parallelograms. If /C=55^0, wha...

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  5. In Figure, B D E F\ a n d\ D C E F are each a parallelogram. Is it tru...

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  6. In Figure, suppose it is known that D E=D Fdot Then, is A B C isoscel...

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  7. Diagonals of parallelogram A B C D intersect at O as shown in Figure. ...

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  8. In Figure, A B C D is a parallelogram, C E besects /C\ a n d\ A F bise...

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  9. Diagonals of a parallelogram A B C D intersect at OdotA L\ a n d\ C M ...

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  10. Point E\ a n d\ F lie on diagonals A C of a parallelogram A B C D such...

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  11. In a parallelogram A B C D ,\ A B=10 c m ,\ A D=6c mdot The bisector o...

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  12. In Figure, R I C E is parallelogram. Find x ,\ y ,\ zdot

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  13. In Figure, A B C D is a rhombus with /A B C=56^0dot Determine /A C Ddo...

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  14. One of the diagonals of a rhombus is equal to one of its sides. Find...

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  15. A B C D is a rhombus in which the altitude from D to side A B\ bisect...

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  16. Construct a rhombus whose diagonals are 10cm and 8cm.

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  17. Which of the following statements are true for a rhombus?

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  18. Fill in the blanks, in each of the following, so as to make the stat...

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  19. The diagonals of a parallelogram are not perpendicular. Is it a rhom...

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  20. The diagonals of a quadrilateral are perpendicular to each other. Is...

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