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Converse

Write the con...

Question

Write the converse of the following statement. If the sum of measures of angles in a figure is $180^{\circ}$ , then the figure is a triangle.

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Solution

If the sum of the measure of angles in a figure is $180^{\circ}$ then that figure is a triangle.

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Similar questions

Write the converse of each of the following statements.

(i) If the sum of measures of angles in a figure is 180⁰ , then the figure is a triangle.

(ii) If the sum of measures of two angles is 90⁰ then they are complement of each other.

(iii) If the corresponding angles formed by a transversal of two lines are congruent then the two lines are parallel.

(iv) If the sum of the digits of a number is divisible by 3 then the number is divisible by 3.

Question 75

State whether the statement is True or False.

The sum of the measures of three angles of a triangle is greater than $180^{\circ}$ .

Q. In the figure, seg SK is a diameter. Write the measures of the following angles:

m ∠ STK =

m ∠ SMK =

Q. 1) Write down the converse of the following statement:

(i) If rectangle

^{'} R^{'}

is a square, then R is a rhombus.

2) Write down the converse of the following statement:

(ii) If tody is Monday then tomorrow is Tuesday.

3) Write down the converse of the following statement:

iii) If you go to Agra, then you must visit Taj Mahal.

4) Write down the converse of the following statement:

iv) If the sum of squares of two sides of a triangle is equal to the square of third side of a triangle, then the triangle is right angled.

5) Write down the converse of the following statement:

v) If all three angles of a triangle are equal, then the triangle is equilateral.

6) Write down the converse of the following statement:

vi) If

x : y = 3 : 2,

2 x = 3 y

.

7) Write down the converse of the following statement:

vii) If S is a cyclic quadrilateral, then the opposite angles of S are supplementary.

8) Write down the converse of the following statement:

viii) If x is zero, then x is neither positive nor negative.

9) Write down the converse of the following statement:

ix) If two triangles are similar, then the ratio of their corresponding sides are equal.

Q. Write the convese of the following statement
" If the sum of measures of two angles is

180^{o}

, then they are supplementary of each other"

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