Math, asked by monikamahich, 11 months ago

solve the question........

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Answered by RiyaDaGreat

Answer:

Answer in the given picture

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Answered by Anonymous

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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.

Follow: https://brainly.in/question/13717830# and https://brainly.in/question/13717462# for the similar link.

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