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5. A quadrilateral has three angles measuring 70°, 50° and 125°. What is the measure of thefourth angle?​

Answer»

GIVEN :-

  • 1st ANGLE of quadrilateral = 70°.
  • 2nd angle of quadrilateral = 50°.
  • 3rd angle of quadrilateral = 125°.

TO FIND :-

  • The FOURTH angle of quadrilateral.

SOLUTION :-

LET the fourth angle of the quadrilateral be x.

☯ Sum of angle of quadrilateral = 360°.

➬ ∠1st + ∠2nd + ∠3rd + ∠4th = 360°.

➬ 70° + 50° + 125° + x = 360°.

➬ 245° + x = 360°.

➬ x = 360° - 245°

➬ x = 115°.

HENCE the FORCE angle of quadrilateral is 115°.

VERIFICATION :-

☯ Sum of angle of quadrilateral = 360°.

➬ ∠1st + ∠2nd + ∠3rd + ∠4th = 360°.

➬ 70° + 50° + 125° + x = 360°.

➬ 70° + 50° + 125° + 115° = 360°.

➬ 245° + 115° = 360°

➬ 360° = 360°

L.H.S = R.H.S

HENCE VERIFIED ✔


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