Question
In the figure x y z=
![](data:image/png;base64,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)
- 40°, 50°, 130°
- 50°,40°,120°
- 30°,40°,130°
- 50°,40°,130°
The correct answer is: 40°, 50°, 130°
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From the figure ![left floor P B R equals](data:image/png;base64,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)
![](data:image/png;base64,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)
From the figure ![left floor P B R equals](data:image/png;base64,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)
![](data:image/png;base64,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)
In the fig. ‘O’ is the centre of Circle. Chords AC and BD intersect at right angles at E, if
= 35° then ![left floor E B C equals](data:image/png;base64,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)
![](data:image/png;base64,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)
Here we used the concept of angle sum property of a triangle. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle EBC is 35 degree.
In the fig. ‘O’ is the centre of Circle. Chords AC and BD intersect at right angles at E, if
= 35° then ![left floor E B C equals](data:image/png;base64,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)
![](data:image/png;base64,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)
Here we used the concept of angle sum property of a triangle. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle EBC is 35 degree.
About 2 to 5% of gypsum
is added to Portland cement. It is just to
About 2 to 5% of gypsum
is added to Portland cement. It is just to
If
=
If
=
Osmosis is the phenomenon expressed by :
Osmosis is the phenomenon expressed by :
If
then the numerical value of
is equal to
If
then the numerical value of
is equal to
=
=
=
=
In the figure
QS and RS are the bisectors of
and
respectively then
![](data:image/png;base64,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)
In the figure
QS and RS are the bisectors of
and
respectively then
![](data:image/png;base64,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)
If AB=AC and
then ![stack B with _ below A C equals](data:image/png;base64,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)
![](data:image/png;base64,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)
Here we used the concept of linear pair. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle A is 50 degree.
If AB=AC and
then ![stack B with _ below A C equals](data:image/png;base64,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)
![](data:image/png;base64,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)
Here we used the concept of linear pair. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle A is 50 degree.
In the figure
then ACD=
![](data:image/png;base64,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)
Here we used the concept of linear pair and exterior angle property. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle BCD is 110 degrees.
In the figure
then ACD=
![](data:image/png;base64,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)
Here we used the concept of linear pair and exterior angle property. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle BCD is 110 degrees.