Question

find the meassures of angles x and y​

Answer 1

Answer:

⠀$\huge\mathcal{\green{Hola!}}$⠀

$\huge\mathfrak{\red{Answer}}$⠀⠀⠀⠀⠀⠀⠀

• x = 115°

• y = 35°

Step-by-step explanation:

☆ Question:-

• Find the value of / x and / y from the given figure.

☆ Required Solution:-

• From the figure;

/ x + 65° = 180° [ Linear pairs ]

$\huge\mathcal{\green{Therefore,}}$⠀

/ x = 180-65

$\huge\fbox{\green{x \ = \ 115°}}$⠀

$\huge\mathcal{\green{And}}$⠀

y + 30° = 65° [ exterior angle property ]

$\huge\fbox{\green{y \ = \ 35°}}$⠀

☆ Verification:-

In ∆ ABC;

Sum of all the angles should be 180°

$\huge\mathcal{\green{that \ is,}}$⠀

/ A + / B + / C = 180°

y + x + 30° = 180°

35° + 115° + 30° = 180°

150° + 30° = 180°

180° = 180°

□ As LHS = RHS

□ Hence, verified.

______________________________________________________

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$\huge\fbox{\orange{be \ brainly}}$⠀

Answer 2

$\huge{\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}}}!$

[]x = 115°

y = 35°

Step-by-step explanation:

☆ Question:-

Find the value of / x and / y from the given figure.

☆ Required Solution:-

From the figure;

/ x + 65° = 180° [ Linear pairs ]

[]

[]Therefore, ⠀

/ x = 180-65

x = 115° x  =  115° ⠀

 ⠀

y + 30° = 65° [ exterior angle property ]

35°y  =  35° ⠀

☆ Verification:-

In ∆ ABC;

Sum of all the angles should be 180°

that is, ⠀

/ A + / B + / C = 180°

y + x + 30° = 180°

35° + 115° + 30° = 180°

150° + 30° = 180°

180° = 180°

□ As LHS = RHS

□ Hence, verified.

[]