Question

4. Let's write whether it is possible or not that the measurement of 3 angles of a convex quadrilataral are 68°, 70°, and 75º.​

Answer 1

Answer:

True

Explanation:

Given :- A quadrilateral with measure of it's 3 angles to be 68° , 70° and 75° respectively .

To find :- To check if it's a convex quadrilateral given it's 3 angles as above mentioned .

Solution :- We know that a quadrilateral is convex if all it's angles are less than 180° (<180) .

Since we are provided with 3 angles we could find out remaining or 4th angle ,

Sum of all angles of any given quadrilateral is 360° by angle sum property .

Therefore remaining angle is 360° - (68° + 70° + 75° ) = 147° which is less than 180° .

Therefore the given quadrilateral is proved to be a convex quadrilateral.