Math, asked by govindram0007gr, 5 hours ago

एक आयत ABCD के विकर्ण पर पर्टिचेड करते है यदि Cod=78° hai Tho OAB hoga

Answers

Answered by shreyash5654
1

Answer:

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Answered by RvChaudharY50
0

Solution :-

given that,

  • ABCD is a rectangle .
  • Diagonal AC and BD intersect at 0 .
  • ∠COD = 78°

so,

→ ∠COD = ∠AOB { Vertically opposite angles. }

→ ∠AOB = 78°

now, in ∆AOB we have,

→ ∠AOB = 78°

→ OA = OB { Diagonals of a rectangle bisect each other equally. => OA = OB = OC = OD . }

then,

→ ∠OAB = ∠OBA { Angle opposite to equal sides are equal in measure. }

therefore,

→ ∠AOB + ∠OAB + ∠OBA = 180° { By angle sum property. }

→ 78° + 2•∠OAB = 180°

→ 2•∠OAB = 180° - 78°

→ 2•∠OAB = 102°

→ ∠OAB = 51° (Ans.)

Learn more :-

In ABC, AD is angle bisector,

angle BAC = 111 and AB+BD=AC find the value of angle ACB=?

https://brainly.in/question/16655884

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