Question

If two supplementary angles are in the ratio 1:2 , then the bigger angle is​

Answer 1

Answer:

120

Step-by-step explanation:

let,the angle of ratio 2x and x

supplementary angle made 180°

A/q

2x+x=180°

3x=180°

x=60°

So, bigger angle is 2x

=2*60°

=120°

Answer 2

$\huge\fbox\orange{QUE}{\colorbox{blue}{ST}}\fbox\green{ION}$

If two supplementary angles are in the ratio 1 : 2, then the bigger angle is

$\huge{\underline{\mathtt{\red{A} \pink{N} \green{S} \blue{W} \purple{E} \orange{R}}}}$

$\huge\boxed{\blue{Given :}}$

➣ Ratio of two supplementary angles = 1 : 2

$\huge\boxed{\red{To \: Find :}}$

➣ The Measure of the larger supplementary angle

$\huge\boxed{\pink {Solution :}}$

➪ Let, the smaller supplementary angle = x°

➪ Let, the larger supplementary angle = 2x°

➪ Sum of two supplementary angles = 180°

⇒ x° + 2x° = 180°

⇒ 3x° = 180°

⇒ x = $\cancel\frac{180} {3}$

⇒ x = 60°

➣ Smaller Supplementary Angle = x° = 60°

➣ Larger Supplementary Angle = 2x° = 3 × 60° = 120°

➦ So, the Measure of the larger supplementary angle is 120°