Question

Solve for x and y (Give reasons). a photo answer would be good​

Answer 1

Answer:

this is your answer .

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Answer 2

➪ Given :-

$\bf Solve \: for \: x \: and \: y$

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➪ To Find :-

$\bf x \: and \: y \: values$

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➪ Solution :-

In triangle,

Sum of all angles = 180°

Here,

y and 115° are linear pairs

Sum of linear pairs = 180°

So,

$\bf \color{brown}⟹ \: \color{green}y + 115° = 180°$

$\bf \color{brown}⟹ \: \color{green}y ° = 180°- 115$

$\color{brown}⟹ \: \color{green} { \underline{\boxed{ \bf \: y= 65°}}}$

$\colorbox{deeppink}{ \color{black} \bf Proof :- }$

$\bf \color{brown}⟹ \: \color{green} 65°+115° = 180°$

$\bf \color{brown}⟹ \: \color{green} 180° = 180°$

Hence, proved !!

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Sum of all angles = 180°

$\bf \color{green}{⟹} \: \: \color{brown} 75°+y+x = 180°$

$\bf \color{green}⟹ \: \color{brown} 75°+65°+x = 180°$

$\bf \color{green}⟹ \: \color{brown} 140°+x = 180°$

$\bf \color{green}⟹ \: \: \color{brown} x = 180°-140°$

$\color{green}⟹ \: \color{brown} { \underline{\boxed{ \bf \: x = 40°}}}$

$\colorbox{black}{ \color{deeppink} \bf Proof :- }$

$\bf \color{green}⟹ \: \color{brown}75°+65°+40° = 180°$

$\bf \color{green}⟹ \: \color{brown}180° = 180°$

Hence, proved !!

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Hence,

The value of x is 40°

The value of y is 65°

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