Question

One angle of a quadrilateral is twice the other and rest two angles are given as 35 degree and 105 degree find the remaining two angles of the quadrilateral

Answer 1

✰✰|| Given ||✰✰

• one angel of quadrilateral is twice other

• rest two angels = 35° and 105°

✰✰|| To Find ||✰✰

• remaining two angels of quadrilateral

✪|| Solution ||✪

Let, the other angel be x

Sum of all angle of quadrilateral = 360°

2x + x + 35° + 105° = 360°

3x + 140° = 360°

3x = 360° - 140°

3x = 220°

x = 220°/3

x = 71.42

1st angel of quadrilateral = 2x

→ 1st angel of quadrilateral = 2 × 71.42

→ 1st angel of quadrilateral = 142.84

2nd angel of quadrilateral = x

→ 2nd angel of quadrilateral = 71.42

1st angel of quadrilateral is

142.84° and 2nd angel of

quadrilateral is 71.42°