Question

Please give me answer
Find the value x,y,z
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Answer 1

Answer:

x= 105 y = 140 z = 40

Step-by-step explanation:

The answer

Answer 2

➼ Answer ➼

• $z=40$° as they both are vertically opposite to each other and hence, are equal.

Value of 'x' :-

40°, 25° and x are making a straight angle hence, their sum is 180°.

$x+25+40=180$

$=>x+65=180$

$=>x=180-65$

$=>x=115$

Hence, the value of x equals to 115°

Value of 'y' :-

∠z and ∠y together make a linear pair hence, their sum is 180°.

∠z + ∠y = 180°

40 + y = 180

y = 180 - 40

y = 140

Hence, the value of y is 140°

Verification :-

The sum of all the angles together equals to 360°.

So,

40° + 25° + ∠y + ∠z + ∠x = 360°

LHS = 40° + 25° + ∠y + ∠z + ∠x

= 40° + 25° + 140° + 40° + 115°

= 65° + 180° + 115°

= 245° + 115°

= 360°

RHS = 360°

LHS = RHS hence, verified.

Thus,

∠y = 140°

∠z = 40°

∠x = 115°

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