Question

If the three angles of quadrilateral 70 degree 100 degree 80 degree find the fourth angle

Answer 1

Question

If the three angles of quadrilateral 70 degree 100 degree 80 degree find the fourth angle ....

Answer

1st Angle = 70°

2nd Angle = 100°

3rd Angle = 80°

4th Angle = (?)

The four angles of a quadrilateral = 360°

Thus, 70° + 100° + 80° + (?) = 360°

==> 250° + (?) = 360°

==> (?) = 360° - 250°

==> (?) = 110°

Thus, 4th Angle = 110°

Verification

70°+80°+100°+110° = 360°

Thus, verified

Answer 2

Answer:

The fourth angle is 110° .

Step-by-step explanation:

• The Quadrilateral is a polygon which has four sides and four angles.
• The three angles of the Quadrilateral are 70°, 100° and 80°.
• We have to calculate fourth angle .
• We know that, The sum of the four angles of the Quadrilateral is 360°.
• Let the fourth angle is x°.
• Then according to question,
• 70°+ 100° + 80° + x° = 360°
• 250° + x° = 360°
• x° = 360°-250°
• x° = 110°

Conclusion:

The fourth angle is 110°.

Note:

The sum of the angles of the polygon can also be calculated from the following formula :

(n-2) × 180° , where n is the number of sides of the polygon.

If the number side of the polygon is 4, then n is 4.

If the number side of the polygon is 5, then n is 5 and so on.