Can the angles 110º, 80º, 70º and 95º be the angles of a quadrilateral? Why or why not?

Solution:

The angles given are 110º, 80º, 70º and 95º

We know that the sum of all the angles of a quadrilateral is 360º

So the sum of the given angles is

110º + 80º + 70º + 95º = 355º ≠ 360º

Therefore, 110º, 80º, 70º and 95º cannot be the angles of a quadrilateral.

✦ Try This: Can the angles 120º, 90º, 80º and 105º be the angles of a quadrilateral? Why or why not?

The angles given are 120º, 90º, 80º and 105º

We know that the sum of all the angles of a quadrilateral is 360º

So the sum of the given angles is

120º + 90º + 80º + 105º = 395º ≠ 360º

Therefore, 120º, 90º, 80º and 105º cannot be the angles of a quadrilateral.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 8

---

NCERT Exemplar Class 9 Maths Exercise 8.2 Problem 3

Can the angles 110º, 80º, 70º and 95º be the angles of a quadrilateral? Why or why not?

Summary:

The angles 110º, 80º, 70º and 95º cannot be the angles of a quadrilateral as the sum is not equal to 360º

---

☛ Related Questions:

• In quadrilateral ABCD, ∠A + ∠D = 180º. What special name can be given to this quadrilateral
• All the angles of a quadrilateral are equal. What special name is given to this quadrilateral
• Diagonals of a rectangle are equal and perpendicular. Is this statement true? Give reason for your a . . . .