Question

Find the angle whose complement is two-fifth the supplement of angle 75°.​

Answer 1

Here u go with your answer hope it helps you

Answer 2

The required angle is 48°

Given problem:

An angle 75°

To find:

The angle whose complement is two-fifth the supplement of angle 75°

Solution:

Supplementary angles:

• The pair of angle whose sum is 180° are known as Supplementary angles
• Supplementary angle of an angle A is (180 -A)°

Complementary angles:

• The pair of angle whose sum is 90° are known as Complementary angles  
• Complementary angle of an angle A is (90 -A)°  

From above information,

The supplementary angle of 75° = 180° - 75° = 105°

Therefore, two-fifth the supplement of angle 75° = 2/5 of 105°

= 2/5(105) = 2(21) = 42°

Now find the complement of angle 42°

⇒ Complement of angle 42° = (90° - 42) = 48°

Therefore, the required angle is 48°

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