Question

The measure of an angle is 18° less than its complement . find the angle​

Answer 1

Answer:

Step-by-step explanation:

x+x-18 = 90°

2x = 90-18

x = 72/2

x = 36°

angle is 54°

Answer 2

$\huge\underline\mathrm{Question-}$

The measure of an angle is 18° less than its complement. Find the angle.

$\huge\underline\mathrm{Answer-}$

$\large{\underline{\boxed{\rm{\red{Angle=36°}}}}}$

$\huge\underline\mathrm{Explanation-}$

Let the angle be x°

Complement = 90 - x

According to the question,

x = 90° - x - 18°

$\implies$ x + x = 72°

$\implies$ 2x = 72°

$\implies$ x = $\cancel{\dfrac{72}{2}}$

$\implies$ x = 36°

$\large{\underline{\boxed{\rm{\red{\therefore\:Angle=36°}}}}}$

Complement of angle = 90 - x

$\implies$ Complement of angle = 90° - 36°

$\implies$ Complement of angle = 54°

$\rule{200}1$

• Complementary angles : Angles having sum of 90° are known as complementary angles.