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Two angles of a quadrilateral are of mea...

Two angles of a quadrilateral are of measure `65^@` and the other two angles are equal. What is the measure of each of these two angles?

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To find the measure of each of the two equal angles in the quadrilateral, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Angles**: We know that two angles of the quadrilateral are 65 degrees each. Let's denote the two equal angles as \( x \). 2. **Set Up the Equation**: According to the angle sum property of quadrilaterals, the sum of all four angles must equal 360 degrees. Therefore, we can write the equation: \[ ...
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RD SHARMA-UNDERSTANDING PHASE-II (QUADRILATERALS)-All Questions
  1. The angles of a quadrilateral are 110^@, 72^@, 55^@ and x^@ Find the v...

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  2. The three angles of a quadrilateral are respectively equal to 100^0,...

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  3. A quadrilateral has three acute angles each measures 80^0dot What is...

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  4. A quadrilateral has all its four angles of the same measure. What is...

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  5. Two angles of a quadrilateral are of measure 65^@ and the other two an...

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  6. Three angles of a quadrilateral are equal. Fourth angle is of measur...

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  7. The angles of a quadrilateral are in the ratio 3:5: 9:13. Find all th...

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  8. If the sum of the two angles of a quadrilateral is 180^@ What is the...

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  9. In Figure, find the measure of /M P N

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  10. theorem 1 (Exterior angle sum property) if the sides of quadrilateral ...

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  11. In Figure, the bisectors of /A\ a n d\ /B meet at a point Pdot If /C=1...

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  12. In a quadrilateral A B C D , the angles A ,\ B ,\ C\ a n d\ D are in t...

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  13. In a quadrilateral A B C D ,\ C O\ a n d\ D O are the bisectors of /C\...

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  14. Find the number of sides of a regular polygon, when each of its angl...

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  15. Find the number of degree in each exterior angle of a regular pentag...

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  16. The measure of angles of a hexagon are x^@, (x-5)^@,(x-5)^@,(2x-5)^@,(...

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  17. In a convex hexagon, prove that the sum of all interior angle is equ...

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  18. The sum of the interior angles of a polygon is three times the sum o...

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  19. Determine the number of sides of a polygon whose exterior and interi...

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  20. P Q R S T U is a regular hexagon. Determine each angle of P Q T .

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