Question

5. If the sum of the measures of three angles
of a quadrilateral is 250°, find the measure
of the fourth angle.
6. Is it possible to have a quadrilateral with
each angle a right angle?​

Answer 1

Answer:

sum of 4 sides of a quadrilateral is equal to 360°

therefore

5. 250+4th side = 360°

4th side = 360-250=110°

6.yes it is possible to have a quadrilateral with each angle 90°, because 90+90+90+90= 360°

Answer 2

Answer

5. Let the measure of the 4th angle be x.

The measure of all the angles of a quadrilateral is 360°

⇒ x + 250° = 360°

⇒ x = 360° - 250°

⇒ x = 110°

∴ The measure of the 4th angle is 110°.

6. Yes it is possible to have a quadrilateral with each angle as a right angle since the sum of all the angles (90+90+90+90) = 360°.

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