Question

14.
ii) Each question carries 4 marks.
4x4=
A) In the given figure MN II OP and OP II QR, also MQMN, if
2 NQR=55°, then find x, y and 'z'.
M
N
5
Х
xyz
o
Р
Z
у
Q
55°
R
xx. h
for)​

Answer 1

Explanation:

In ΔKMN, as PQ∥MN, so,

PM

KP

=

QN

KQ

⇒

PM

KP

=

KN−KQ

KQ

⇒

13

4

=

20.4−KQ

KQ

⇒4(20.4−KQ)=13KQ

⇒KQ=

17

81.6

KQ=4.8cm