Question

X and Y are supplementry angles
X =5 angle Y find X and Y​

Answer 1

$\sf\huge\bold{Answer:}$

What are supplementary angles ?

Supplementary angles are those angles that have a sum of 180°

Given :

∠X and ∠Y are supplementary.

$:⟶∠X + ∠Y = 180 \degree$

∠X = 5 times ∠Y

To find :

Measure of ∠X and ∠Y

Solution :

$:⟶∠X + ∠Y = 180 \degree$

Inserting value of ∠X

$:⟶ ∠5Y + ∠Y= 180 \degree$

$:⟶∠6 Y = 180 \degree$

$:⟶∠ Y= 30 \degree$

Hence,

$\huge\purple{∠Y=30°}$

$:⟶∠X = 5 \times ∠Y$

$:⟶∠X = 5 \times 30°$

$:⟶∠X = 150°$

And,

$\huge\purple{∠X=150°}$

Answer 2

Answer:

X = 150°

Y = 30°

Step-by-step explanation:

Given :

X = 5Y ; X and Y are angles

To find :

The value of X and Y

Solution :

We know that,

Supplementary means the sum of those to angles will give to 180°

So,

X + Y = 180

It is given that, X = 5Y

So,

=> 5Y + Y = 180

=> 6Y = 180

=> Y = 30°

→ Angle X = 5Y

=> X = 5 × 30

=> X = 150°

$\therefore \underline{\boxed{\mathrm{\angle X = 150^{\circ} \ ; \ \angle Y = 30^{\circ}}}}$

Hope it helps!!