find the meassures of angles x and y
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Answer:
⠀[tex]\huge\mathcal{\green{Hola!}}[/tex]⠀
[tex]\huge\mathfrak{\red{Answer}}[/tex]⠀⠀⠀⠀⠀⠀⠀
Step-by-step explanation:
☆ Question:-
☆ Required Solution:-
/ x + 65° = 180° [ Linear pairs ]
[tex]\huge\mathcal{\green{Therefore,}}[/tex]⠀
/ x = 180-65
[tex]\huge\fbox{\green{x \ = \ 115°}}[/tex]⠀
[tex]\huge\mathcal{\green{And}}[/tex]⠀
y + 30° = 65° [ exterior angle property ]
[tex]\huge\fbox{\green{y \ = \ 35°}}[/tex]⠀
☆ Verification:-
In ∆ ABC;
Sum of all the angles should be 180°
[tex]\huge\mathcal{\green{that \ is,}}[/tex]⠀
/ 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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[tex]\huge\mathfrak{\red{@MissTranquil}}[/tex]⠀
[tex]\huge\fbox{\orange{be \ brainly}}[/tex]⠀
[tex]\huge{\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}}}![/tex]
[]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.
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