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Sub 505 (Easy)|   Geometry|      
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Bunuel
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In the figure above, if RSTU is a rectangle, what is the value of a + 06 Dec 2018, 00:49
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D
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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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D
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In the figure above, if RSTU is a rectangle, what is the value of a + 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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In the figure above, if RSTU is a rectangle, what is the value of a + 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.
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In the figure above, if RSTU is a rectangle, what is the value of a + 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
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In the figure above, if RSTU is a rectangle, what is the value of a + 06 Dec 2018, 04:38
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Bunuel

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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Imo d
270
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In the figure above, if RSTU is a rectangle, what is the value of a + 09 Dec 2018, 06:40
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All angles of rectangle are equal to 90 degree i.e < r = < s = < t =<u = 90 degree. (<=angle)

Now consider triangle RSX,

We have <a + <s + <b = 180 degree

=> <a +<b = 90 (since <s = 90 degree)...................(1)


Same for triangle XYT,
<c + <d + < t =180 degree

=> <c + <d = 90 (since <t = 90 degree)...................(2)


And finally for triangle YRU

<e + <f + < u =180 degree

=> <e + < f =90 (since <u = 90 degree)....................(3)

Now putting the values from (1), (2) and (3), we get (<a+<b) +(<c+<d) + (<e+<f) = 90+90+90 = 270

IMO answer is option D.

P.S: Option E is not possible.
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