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5. In triangle ABC , ∠A – ∠B = 33 degree and ∠B – ∠C = 180 degree.Find the measure of each angle of the triangle. (Answer: ∠A = 88° and ∠B = 55° and ∠C = 37°).
Let ∠C= x°, ∴ ∠B - x°=18° ⇒ ∠B = 18°+x° ......(i) Again, ∠A - (18°+x°)= 33° ⇒∠A = 33°+18°+x° ......(ii) And ∠A+∠B+∠C...
Raj
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13. The measure of an angle is twice the measure of supplementary angle. What is the measure of angles?
Let the smaller angle is x°, the larger angle will be 2x°, ∴ 3x°= 180° ⇒x° = 60° ∴ smaller angle is 60° and larger angle is 120°
Ravindra
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12. If the diagonals of the rectangle ABCD intersect at O and ∠COD = 78°, then ∠OAB is:
Diagonals of a rectangle bisect each other and they are equal in length ∴Δ AOB will be an isosceles triangle with AO=BO In ΔAOB, ∠AOB = ∠COD ............. ∠OAB=∠OBA ................ ∴∠AOB...
Mallikarjun
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