Question

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

Answer 1

Answer:

fourth angle = 115 degree

Step-by-step explanation:

angle sum property of quad.=angle A+ANGLE B+ANGLE C +ANGLE D =360 DEGREE

ANGLE A =70, ANGLE B=50, ANGLE C =125 LET ANGLE D BE x

70+50+125+x=360

245+x=360

x=360-245

x=115

Answer 2

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 ✔