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About
Simple and Easy Learning
Tutorials Point originated from the idea that there exists a class of readers who respond better to online content and prefer to learn new skills at their own pace from the comforts of their drawing rooms.
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Tutorialspoint
55 Views
Given:Lines $PQ$ and $RS$ intersect at point $T$, such that $\angle PRT=40^o, \angle RPT=95^o$ and $\angle TSQ=75^o$.To do:We have find $\angle SQT$.Solution:Let us consider $\triangle PRT$.We know that, The sum of the interior angles of a triangle is always $180^o$.Therefore, $\angle PRT+\angle RPT+\angle PTR=180^o$By substituting the values of $\angle PRT$ ... Read More
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Tutorialspoint
29 Views
Given:$\angle X=62^o$, \angle XYZ=54^o$.$YO$ and $ZO$ are bisectors of $\angle XYZ$ and $\angle XZY$ respectively of $\triangle XYZ$.To do:We have to find $\angle OZY$ and $\angle YOZ$.Solution:We know that the sum of the interior angles of the triangle are always $180^o$.This implies, $\angle X+\angle XYZ+\angle XZY=180^o$By substituting the values of ... Read More
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Tutorialspoint
20 Views
Given:Sides $QP$ and $RQ$ of $\triangle PQR$ are produced to points $S$ and $T$ respectively.$\angle SPR=135^o$ and $\angle PQT=110^o$.To do:We have to find $\angle PRQ$.Solution:We know that, The sum of the measures of the angles in linear pairs is always $180^o$.This implies, $\angle TQP+\angle PQR=180^O$By substituting the value of $\angle ... Read More
Tutorialspoint
1K+ Views
To do:We have to find in which quadrant or on which axis the points \( (-2, 4), (3, -1), (-1, 0) \), \( (1, 2) \) and \( (-3, -5) \) lie.Solution: To find the quadrant or axis of the points $(-2, 4), (3, -1), (-1, 0), (1, 2)$ and $(-3, ... Read More
Tutorialspoint
23 Views
To do:We have to find(i) The coordinates of $B$.(ii) The coordinates of $C$.(iii) The point identified by the coordinates $(-3, -5)$.(iv) The point identified by the coordinates $(2, -4)$.(v) The abscissa of the point $D$.(vi) The ordinate of the point $H$.(vii) The coordinates of the point $L$.(viii) The coordinates of ... Read More
Tutorialspoint
49 Views
To do:We have to find(i) The number of cross-streets that can be referred to as \( (4, 3) \).(ii) The number of cross-streets that can be referred to as \( (3, 4) \).Solution:Draw two perpendicular lines as the two main roads of the city that cross each other at the ... Read More
Tutorialspoint
172 Views
To do:We have to answer the given questions.Solution: (i) The horizontal line that is drawn to determine the position of any point in the Cartesian plane is called the X-axis. The vertical line that is drawn to determine the position of any point in the Cartesian plane is called the Y-axis.(ii) The ... Read More
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Tutorialspoint
35 Views
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Tutorialspoint
44 Views
Given:$AB \parallel CD$, $\angle APQ=150^0$ and $\angle PRD=127^o$.To do:We have to find $x$ and $y$.Solution:We know that, If the lines intersected by the transversal are parallel, alternate interior angles are equal.This implies, $\angle APQ=\angle PQR$By substituting the values we get, $\angle APQ=\angle PRD$This implies, $x=50^o$In the similar way, we get, ... Read More
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Tutorialspoint
41 Views
Given:$PQ \parallel ST$, $\angle PQR=130^o$.To do:We have to find $\angle QRS$.Solution:Let us draw a line parallel to $ST$ through the point $R$ and name it $UV$.We know that, The angles on the same side of the transversal are equal to $180^o$.Therefore, $\angle RST+\angle SRV=180^o$This implies, $\angle SRV=180^o-130^o$ (Since, $\angle S=130^o$)We ... Read More