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If two adjacent angles are ……………. they form a linear pair. (complementary / supplementary)

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Solution

Linear Pair :
When the non-common sides of a pair of adjacent angles are in a straight line, then the angles form a linear pair. Angles in a linear pair are supplementary. As shown in the figure below :
As $∠ 1 + ∠ 2 = 180 °$
So, $∠ 1$ and $∠ 2$ form a linear pair.
Hence if two adjacent angles are supplementary they form a linear pair.

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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 _______.

Draw the pairs of angles as described below.If that is not possible, say why.

(i) Complementary angles that are not adjacent.

(ii) Angles in a linear pair which are not supplementary.

(iii) Complementary angles that do not form a linear pair.

(iv) Adjacent angles which are not in a linear pair.

(v) Angles which are neither complementary nor adjacent.

(vi) Angles in a linear pair which are complementary.

In the adjoining figure, name the following pairs of angles.

(i) Obtuse vertically opposite angles

(ii) Adjacent complementary angles

(iii) Equal supplementary angles

(iv) Unequal supplementary angles

(v) Adjacent angles that do not form a linear pair

Question 2

$Δ D E F$ in the given figure is a right-angled triangle with $∠ E = 90^{\circ}$ . What type of angles are $∠ D$ and $∠ F$ ?

a) They are equal angles
b) They form a pair of adjacent angles
c) They are complementary angles
d) They are supplementary angles

Q. Construct the following figures.
(i) A pair of adjacent angles
(ii) Two supplementary angles which are not adjacent angles.
(iii) A pair of adjacent complementary angles.

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Choose the correct word and fill in the blanks :If two adjacent angles are ……………. they form a linear pair. (complementary / supplementary)

Choose the correct word and fill in the blanks :
If two adjacent angles are ……………. they form a linear pair. (complementary / supplementary)