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27 Jul 2022, 05:15
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In the figure above, x =
(A) 35
(B) 55
(C) 125
(D) 145
(E) 150
Attachment:
#GREpracticequestion In the figure above, x = .jpg [ 15.27 KiB | Viewed 1354 times ]
29 Jul 2022, 02:49
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Bunuel can you please show how this is done? Thank you
29 Jul 2022, 03:27
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yashsokhal23
Bunuel can you please show how this is done? Thank you
Sum of all angles of a triangle = 180°
In the triangle at the right, we have been given 2 angles 90° and 35°
So the 3rd angle will be = 180-90-35 = 55°
Now there are 2 intersecting lines so by the property of vertically opposite angles, the angle opposite to the 55° angle we just calcuated will also be 55°
Ok, now we need to find x
x is an exterior angle and an exterior angle of a triangle is equal to the SUM OF 2 INTERIOR OPPOSITE ANGLES (meaning that it is the sum of those 2 angles of the triangle which are away from it) which = 90+55 = 145°
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