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06 Dec 2018, 00:49
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In the figure above, if RSTU is a rectangle, what is the value of a + b + c + d + e + f ?
A. 90
B. 180
C. 210
D. 270
E. 300
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06 Dec 2018, 01:59
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A+B=90 since these are angles of a right angled triangle. Similarly, C+D=90 and E+F=90. Total=90*3=270
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Chethan92
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06 Dec 2018, 02:00
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In triangle SRX, Angle S = 90.
Then angle a+b = 90
In triangle XTY, Angle T = 90.
Then angle c+d = 90
In triangle YUR, Angle U = 90.
Then angle f+e = 90
Then, a+b+c+d+e+f = 270
D is the answer.
Then angle a+b = 90
In triangle XTY, Angle T = 90.
Then angle c+d = 90
In triangle YUR, Angle U = 90.
Then angle f+e = 90
Then, a+b+c+d+e+f = 270
D is the answer.
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anshkool4u
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06 Dec 2018, 04:16
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Since RSTU is a rectangle, each of the angle, R,S,T,U will be 90 degrees.
Now, in triangle comprisiing angles a,S and b, sum of all angles in triangle is equal to 180 degree.
This means a+b+S=180
But S=90 degree (vertex of rectangle)
This implies a+b+90=180.Hence a+b=90 degrees.
Same is for all the other three triangles as appearing in figure. Which means c+d=90, e+f=90.
Hence,a+b+c+d+e+f= 90+90+90=270 degress.
Answer D
Now, in triangle comprisiing angles a,S and b, sum of all angles in triangle is equal to 180 degree.
This means a+b+S=180
But S=90 degree (vertex of rectangle)
This implies a+b+90=180.Hence a+b=90 degrees.
Same is for all the other three triangles as appearing in figure. Which means c+d=90, e+f=90.
Hence,a+b+c+d+e+f= 90+90+90=270 degress.
Answer D
