Question

An angle is two third of its complement and one fourth of its supplement then the angle

Answer 1

Answer:

An angle two third of complement would be 2/3×90=30×2=60

An angle one fourth of its supplement would be 1/4×180=45

Step-by-step explanation:

Answer 2

The complementary angle = 60° and the supplementary angle = 45°

Step-by-step explanation:

Let the complementary angle $=\dfrac{2}{3}x$ and

The supplementary angle $=\dfrac{1}{4}x$

To find, the complementary angle and the supplementary angle = ?

We know that,

The complementary angle = 90° and

The supplementary angle = 180°

∴ The complementary angle $=\dfrac{2}{3}$× 90°

= 2 × 90° = 60°

and

The supplementary angle $=\dfrac{1}{4}$ × 180°

= 45°

Hence, the complementary angle = 60° and the supplementary angle = 45°