Question

in quadrilateral three angles are in the ratio of 3 is to 3 is to 1 and The Fourth angle is 80 degree find the measure of equal angles

Answer 1

Answer:

measure of equal angles is 120°.

Step-by-step explanation:

let the measures of angle in ratio be 3x: 3x : x

therefore

3x + 3x+ x+ 80° = 360°............sum of all angles of quadrilateral is 360°

7x + 80° = 360°

7x = 360° - 80°

7x = 280°

x = 280°/ 7

x =40°

measure of equal angles

3x =3x

3x = 3 x 40

    = 120°

therefore, measure of equal angles is 120°.

Answer 2

Ratio of angles

3:3:1

fourth angle=80°

let other 3 angles be 3x,3x and x

∴ byangle sum prop of a quuadilateral

3x+3x+x+80=360

7x=280

x=40

∴the equal angles are 3x and 3x

⇒3(40)=120

∴equal angles are of measure 140°

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