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In the figure shown below, what is the value of K ?

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In the figure shown below, what is the value of K ?  [#permalink]

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New post 04 Oct 2018, 02:32
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

90% (01:23) correct 10% (01:36) wrong based on 20 sessions

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In the figure shown below, what is the value of K?
Image

(A) 45
(B) 50
(C) 55
(D) 65
(E) 70

Attachment:
2018-10-04_1331.png
2018-10-04_1331.png [ 32.23 KiB | Viewed 183 times ]

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Re: In the figure shown below, what is the value of K ?  [#permalink]

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New post 04 Oct 2018, 02:50
1
Right Triangle PSR is a 5-12-13. Hence, PR=13
Right Triangle PQT= 84^2 + pq^2= 85^2 --- PQ^2=85^2-84^2
PQ^2= (85+84)(85-84)= 169
PQ=13

Hence, Triangle PQR is an isosceles triangle
since, PQ= 13 and opposite angle Q= 65degrees, similarly PR=13, hence, opposite angle R= 65degrees
180-(2*65)= 50


Ans= B
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Re: In the figure shown below, what is the value of K ? &nbs [#permalink] 04 Oct 2018, 02:50
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In the figure shown below, what is the value of K ?

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