A quadrilateral can have all four angles as obtuse. State whether the statement is true or false.

Solution:

Given, A quadrilateral can have all four angles as obtuse.

We have to determine if the given statement is true or false.

An obtuse angle is defined as an angle that is greater than 90° and less than 180°.

We know that the sum of all the four interior angles of a quadrilateral is 360 degrees.

Let four angles be a, b, c and d

Let a = 100°, b = 120°, c = 110° and d = 150°

Sum of all angles = a + b + c + d

= 100°+ 120° + 110° + 150°

= 480° > 360°

Therefore, all angles cannot be obtuse.

✦ Try This: A quadrilateral can have two angles as obtuse. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 123

A quadrilateral can have all four angles as obtuse. State whether the statement is true or false.

Summary:

The given statement, ”A quadrilateral can have all four angles as obtuse” is false.

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