Question

If two complementary angles are equal what is the size of each?

a) 30°

b) 45°

c) 60°

d) 90°

Answer 1

Answer:

45 degree

Step-by-step explanation:

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Answer 2

let one complementary angle be x°

then other complementary angle is x°(because two complementary angles are equal)

sum of two complementary angle=90°

according to the question,

x+x=90

or,2x=90

or,x=90/2(dividing both sides by 2)

or,x=45(solution)

therefore,45° is the size of each angle (45°+45°=90°)

when the sum of two angle is 90° then they are called complementary angle of each other

when the sum of two angle is 180° then they are called supplementary angle of each other

so the correct option is b 45°