Question

If two angle are complement of each other then each angle is

Answer 1

Complementary angles : When two angles add up to 90⁰.
Examples :

1) 20, 70 2) 30,60 3) 1,89 etc.

The complement of an angle of measure 30 ⁰ is the angle of 60 ⁰ . And the complement of angle of measure 60 ⁰ is the angle of 30 ⁰

Important Points :

1) If two angles are complement of each other, then each is an acute angle.

2) Two obtuse angles can not be complement of each other.

3) Two right angles cannot be complement of each other.

Examples :

1) If two angles are complement of each other and one of the angle is of measure 50.Find the measure of other angle.

Solution :
As we know that sum of two complementary-angles is 90 ⁰ .

Let two angles be x and y such that x = 50 ⁰

So x +y = 90 ⁰

50 + y= 90

y = 90 – 50

y = 40 ⁰