Question

Find the measure of an angle which is one-fifth of its supplement

Answer 1

Let the first angle be x

Second angle=1/5x

Complementary angle happens when the sum of 2 angles is 90°.


Now ATQ,


$x + \frac{1}{5}x = 90$



$= > \frac{5x + x}{5} = 90$




$= > \frac{6x}{5} = 90$





$= > x = 90 \times \frac{5}{6}$



$= > x = 75$



$\frac{1}{5} x = \frac{1}{5} \times 75 = 15$

Answer 2

Answer :

∴ Supplement angle = 150°

Given:

• Measure of an angle = 1/5 of its supplement

To Find :

• Supplement angle = ?

Step-by-step explanation :

Let an angle be x.

Then, supplement angle = (180° - x)

According to the given question ⟹

x = 1/5 ( 180° - x)

5x = (180° - x)

5x = 180° - x

5x + x = 180°

6x = 180°

x = 180°/6

x = 30

Thus, supplement angle = (180° - x) ⟹ 180° - 30 = 150°.