Identify the complementary pair of angles in each of the following,
$i) 20 ° a n d 22 °$ $i i) 45 ° a n d 45 °$ $i i i) 10 ° a n d 79 °$ $i v) 80 ° a n d 10 °$

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Solution

Two angles are called complementary pair of angles when their measures add to $90 °$ .
$i) 20 ° + 22 ° = 42 ° \neq 90 °$ hence these are not complementary angles.
$i i) 45 ° + 45 ° = 90 ° = 90 °$ hence these are complementary angles.
$i i i) 10 ° + 79 ° = 89 ° \neq 90 °$ hence these are not complementary angles.
$i v) 80 ° + 10 ° = 90 ° = 90 °$ hence these are complementary angles.
Hence complementary pair of angles are $i i a n d i v .$

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Similar questions

Identify which of the following pairs of angles are complementary and which are supplementary.

(i) 65°, 115° (ii) 63°, 27°

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(v) 45°, 45° (vi) 80°, 10°

Question 3 (v)
Identify which of the following pairs of angles are complementary and which are supplementary:
$45^{\circ}, 45^{\circ}$

Identify which of the following pairs of angles are complementary and which are supplementary.

(i) 65°, 115° (ii) 63°, 27°

(iii) 112°, 68° (iv) 130°, 50°

(v) 45°, 45° (vi) 80°, 10°

Identify the supplementary pair of angles in each of the following,

$i) 20 ° a n d 110 ° i i) 135 ° a n d 45 ° i i i) 100 ° a n d 79 ° i v) 89 ° a n d 91 °$

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