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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Solution

Given
"If the sum of measures of two angles is $180^{\circ}$ , then they are
supplementary of each other."
The converse of the above statement is
"If two angle are supplementary of each other
then there sum of measures is $180^{\circ}$ ''.

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Similar questions

Fill in the blanks:

(i) If two angles are complementary, then the sum of their measures is _______.

(ii) If two angles are supplementary, then the sum of their measures is _______.

(iii) Two angles forming a linear pair are _______.

(iv) If two adjacent angles are supplementary, they form a _______.

(v) If two lines intersect at a point, then the vertically opposite angles are always _______.

(vi) If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are _______.

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 13 (ii)
If two angles are supplementary, then the sum of their measures is ___.

Two adjoining angles are supplementary to each other if their sum is $180^{\circ}$ . The supplement of an angle is 24 less than 5 times the angle.

Find the measure of the supplement.

Q. The sum of all angles of a triangle is

180^{o}

, hence all angles of a triangle are always supplementary angles.

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Write the convese of the following statement" If the sum of measures of two angles is 180o, then they are supplementary of each other"

Given "If the sum of measures of two angles is 180∘, then they aresupplementary of each other."The converse of the above statement is "If two angle are supplementary of each other then there sum of measures is 180∘''.

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"

Given
"If the sum of measures of two angles is $180^{\circ}$ , then they are
supplementary of each other."
The converse of the above statement is
"If two angle are supplementary of each other
then there sum of measures is $180^{\circ}$ ''.