Question

1) Two adjacent angles on a straight
line
in the ralio 6:3 . The measure-
-ment of the greater angle is
90
​

Answer 1

Given ratio = 6 : 3

Let the angles be 6x , 3x

6x + 3x = 180° { ∵ Sum of adjacent angles }

=> 9x = 180° => x = 20°

∴ The angles are 120° , 60°

Answer 2

Answer:

$\boxed{Measurement \: of \: adjacent \: angles \: is \: 90\degree \: and \: 45\degree}$

Given:

Ratio of two adjacent angles = 6:3

Greater angle = 90°

Step-by-step explanation:

Let the adjacent angles be 6x° and 3x°

6x° will be the greater angle

Therefore,

$= > 6x \degree = 90\degree \\ \\ = > x\degree = \frac{90}{6} \degree \\ \\ = > x\degree = 15\degree$

So,

The measurement of smaller angle will be:

$3x\degree =( 3 \times 15)\degree \\ = 45\degree$