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Question 1 Lines and Angles Exercise 13

Find the complement of each of the following angles:

(i). 35^{\circ}

(ii) 47^{\circ}

(iii) 60^{\circ}

(iv) 73^{0}

Answer:

(i) Two angles are said to be complementary if the sum of their measures is 90^{\circ}.

The given angle is 35^{\circ}.

Let the measure of its complement be x^{\circ}.

Then,

= x + 35 = 90

= x = 90 – 35

= x = 55^{\circ}

Hence, the complement of the given angle measures 55^{\circ}.

(ii) Two angles are said to be complementary if the sum of their measures is 90^{\circ}.

The given angle is 47^{\circ}

Let the measure of its complement be x^{\circ}.

Then,

= x + 47 = 90

= x = 90 – 47

= x = 43^{\circ}

Hence, the complement of the given angle measures 43^{\circ}.

(iii) Two angles are said to be complementary if the sum of their measures is 90^{\circ}.

The given angle is 60^{\circ}.

Let the measure of its complement be x^{\circ}.

Then,

= x + 60 = 90

= x = 90 – 60

= x = 30^{\circ}.

Hence, the complement of the given angle measures 30^{\circ}.

(iv) Two angles are said to be complementary if the sum of their measures is 90^{\circ}.

The given angle is 73^{\circ}

Let the measure of its complement be x^{0}.

Then,

= x + 73 = 90

= x = 90 – 73

= x = 17^{\circ}

Hence, the complement of the given angle measures 17^{\circ}.

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