hello!
show yr work and help me by this one! xD
i am not sure the answers given by the book if they are correct.
answers are : angle u = 35; angle r = 125 ;
Answers
It is stated that,
SOUR is a ||gm
SM= 5 cm
UO = 6.5 cm
SO = 9 cm
∠UOS' = 55°
RM = OM
Construction: Join MU
Solution:
∠SOU' + ∠SOU = 180° (Linear pair)
⇒ 55° + ∠SOU = 180°
⇒ ∠SOU = 180°-55°
⇒ ∠SOU = 125°
∠SOU = ∠SRU = 125° (Corresponding ∠s of a ||gm.)
∴ ∠R = 125°
∠R + ∠U = 180° (Co- interior ∠s)
⇒ 125° + ∠U = 180°
⇒ ∠U = 180° -125°
⇒ ∠U = 55°
∴ ∠U = 55°
∵ Diagonals of a quadrilateral always bisect each other in right angles.
∴ SM = MU = 5 cm
∴ SU = (SM+MU)
= (5+5)
= 10 cm
∴ The length of diagonal SU is 10 cm.
[ Seems there is printing mistake in the book,
∠R = 125° it is right but,
∠U = 35° it is incorrect.
Seems ∠R and ∠ U are co-interior angles to each other and we know that the sum of co-interior angle is always 180°
But as per the book,
35+125 = 160
But as per the angle sum property,
∠U + ∠R = 180°
⇒ ∠U = 180°-125°
⇒ ∠U = 55°
So, the correct answer is ∠U = 55° and ∠R =125°.]
Follow: https://brainly.in/question/13717830# and https://brainly.in/question/13717817 for the similar link.
Answer:
The above answer is alright
Step-by-step explanation: