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General

Easy

Question

# Show the conjecture is false by finding a counterexample.

Two supplementary angles form a linear pair.

## The correct answer is: the given statement is false

### Given, two supplementary angles always form a liner pair

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

When the sum of measures of two angles is 180 degrees, then the angles are called supplementary angles.

When two lines intersect each other at a single point, linear pairs of angles are formed.

From the figure,

∠1 + ∠2 = 180°

Linear pair of angles occurs in a straight line.

So, two supplementary angles do not always form a linear pair.

Therefore, the given statement is false.

From the figure,

Linear pair of angles occurs in a straight line.

So, two supplementary angles do not always form a linear pair.

Therefore, the given statement is false.

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### Show the conjecture is false by finding a counterexample.

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### Show the conjecture is false by finding a counterexample.

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### A cubical tank 50 cm in length and 36 cm in breadth contain water. A cube of x cm edge is dropped into it and fully immersed. If the rise in water level is 15 cm, solve for x. and hence find the T.S.A of the cubical tank

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### calculate the surface area of a cube and volume of a cube with the given diagonal length of 15cm

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### Show the conjecture is false by finding a counterexample.

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### Show the conjecture is false by finding a counterexample.

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### Complete the conjecture.

The sum of the first n odd positive integers is ____.

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### Find a counterexample to show that the following conjecture is false.

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### Find a counterexample to show that the following conjecture is false.

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### Three blocks that are in the shape of a cube with each side 3.2 cm are attached end to end. Calculate the T.S.A of the resulting cuboid?

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### The area of a playground is . Without removing common factors, factor to possible dimensions of the playground. How are the side-lengths related? What value would you need to subtract from the longer side and add to the shorter side for the playground to be a square?

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### What is the first three numbers in the pattern?

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