Question

Two angles of a a quadrilateral are 50° and 80° amd other angles are in the ratio of 8:15, fina the value of other tep angles.

Answer 1

hey..

sum of angles in a quadrilateral = 360°
50° + 80° + 8x + 15x = 360
130° + 23x = 360°
23x = 360° - 130°
23x = 230°
x = 230/23
x = 10°

8x = 8(10) = 80°
15x = 15(10) = 150°

therefore 80° and 150° are the other two angles

Answer 2

Given, two angles of a quadrilateral are 50° and 80°

Given, the other two angles are in the ratio 8 : 15

Let the constant be x

Let the other two angles be 8x and 15x

Sum of all angles of a quadrilateral is 360°


According to the question,

50 + 80 + 8x + 15x = 360

➾ 130 + 23x = 360

➾ 23x = 360 - 130

➾ 23x = 230

➾ x = 10


∴ 1st angle ➾ 8x

➾ 8 × 10

➾ 80°


∴ 2nd angle ➾ 15x

➾ 15 × 10

➾ 150°