Question
Using information given in the following figure, the value of x and y is
![](data:image/png;base64,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)
- 65°,110°
- 80°,125°
- 30°,75°
- 75°,105°
Hint:
The fundamental geometric shapes are lines and angles. Infinite points that stretch infinity in both directions make up lines, which are geometric objects. Straight lines with little depth or width are present. Here we have given a triangle and we have to find the value of x and y.
The correct answer is: 65°,110°
A line is a simple, one-dimensional shape that can go on forever in the opposing directions. A line may be vertical or horizontal. It can be drawn either top to bottom or left to right.
When the ends of two rays collide at a single location, an angle is the geometry that results. They are expressed as radians or degrees (°). A 360-degree angle is the same as a whole rotation. It is symbolised by the character "∠".
Here we have given the two triangles and angle A=30, angle B = 35 angle D = 45 respectively.
![](data:image/png;base64,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)
![N o w space w e space k n o w space t h a t space i n space t r i a n g l e comma space t h e space t o t a l space a n g l e space s u m space i s space 180 space d e g r e e comma space s o colon
I n space t r i a n g l e space A B C comma space w e space h a v e colon
angle A plus angle B plus angle C equals 180 degree
30 plus 35 plus C equals 180
C equals 180 minus 65
angle B C E equals 115 degree
N o w space w e space h a v e colon space
angle B C E plus angle E C D equals 180 degree space left parenthesis l i n e a r space p a i r right parenthesis
P u t t i n g space t h e space v a l u e s space i n space i t comma space w e space g e t colon
115 degree plus angle E C D equals 180 degree
angle E C D equals 180 degree minus 115 degree
angle E C D equals 65 degree
N o w space w e space k n o w space t h a t space i n space t r i a n g l e comma space t h e space t o t a l space a n g l e space s u m space i s space 180 space d e g r e e comma space s o colon
I n space t r i a n g l e space E C D comma space w e space h a v e colon
angle E plus angle C plus angle D equals 180 degree
angle E plus 65 plus 45 equals 180
angle E equals 180 minus 110
angle E equals 70 degree
N o w space w e space h a v e colon space
angle C E D plus angle D E A equals 180 degree space left parenthesis l i n e a r space p a i r right parenthesis
P u t t i n g space t h e space v a l u e s space i n space i t comma space w e space g e t colon
70 degree plus angle D E A equals 180 degree
angle D E A equals 180 degree minus 70 degree
angle D E A equals 110 degree](data:image/png;base64,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)
Here we used the concept of linear pair and 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 angles are 65°and 110°.
Related Questions to study
In figure, the sides QP and RQ of
are produced to points S and T respectively. If
and
then ![stack P R Q with _ below 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 and 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 PRQ is 65 degrees.
In figure, the sides QP and RQ of
are produced to points S and T respectively. If
and
then ![stack P R Q with _ below 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 and 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 PRQ is 65 degrees.