Topic:-quadrilateral
In geometry, a quadrilateral is a polygon with four 'sides' or edges and four vertices or corners. Sometimes, the term quadrangle is used, for analogy with triangle, and sometimes tetragon for consistency with pentagon (5-sided), hexagon (6-sided) and so on. The word quadrilateral is made of the words quad and lateral . Quad means four and lateral means sides. The interior angles of a quadrilateral add up to 360 degrees of arc.
Question:-
In a quadrilateral, the third angle is 2 times the fourth and the second angle is 3 times the fourth. The first angle is given as 120. Find the fourth angle.
Solution:-
Let the fourth angle be 'x'.
Here, the third angle = 2 times the fourth angle = 2x.
The second angle = 3 times the fourth angle = 3x.
We know the sum of the angles of a quadrilateral = 360°.
Therefore x + 2x + 3x + 120 = 360.
ie 6x + 120 = 360.
ie 6x = 360 - 120 = 240.
ie x = 240 / 6 = 40.
Hence the fourth angle = 40°.
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In geometry, a quadrilateral is a polygon with four 'sides' or edges and four vertices or corners. Sometimes, the term quadrangle is used, for analogy with triangle, and sometimes tetragon for consistency with pentagon (5-sided), hexagon (6-sided) and so on. The word quadrilateral is made of the words quad and lateral . Quad means four and lateral means sides. The interior angles of a quadrilateral add up to 360 degrees of arc.
Question:-
In a quadrilateral, the third angle is 2 times the fourth and the second angle is 3 times the fourth. The first angle is given as 120. Find the fourth angle.
Solution:-
Let the fourth angle be 'x'.
Here, the third angle = 2 times the fourth angle = 2x.
The second angle = 3 times the fourth angle = 3x.
We know the sum of the angles of a quadrilateral = 360°.
Therefore x + 2x + 3x + 120 = 360.
ie 6x + 120 = 360.
ie 6x = 360 - 120 = 240.
ie x = 240 / 6 = 40.
Hence the fourth angle = 40°.
For more help on this ,you can reply me
