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2 years ago

Find the value of x in each case and give an explanation plzzz, thank youu :)

Mathematics

1 answer:

Serga [27]2 years ago

5 0

Answer:

Step-by-step explanation:

the arrows from the picture tells us that TV is parallel to RS

since TS is a transversal that cuts the 2 parallel lines TV and RS than ∠S =x

(alternate interior angles)

sum of angles in a Δ is 180° so x+x+2x = 180°, 4x =180°, x= 45°

2x = 45*2 = 90°

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Pretty Simple!

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3 years ago

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Leya [2.2K]

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Answer:

$\boxed{\sf sin\ C =\frac{40}{41}}$

Step-by-step explanation:

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$\sf\longrightarrow sin\theta =\dfrac{ perpendicular}{hypontenuse}$

Here we can see that the side opposite to angle C is 40 , therefore the perpendicular of the triangle is 40. And the side opposite to 90° angle is 41 . So it's the hypontenuse . On using the ratio of sine ,

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Substitute the respective values ,

$\sf\longrightarrow \boxed{\blue{\sf sin\ C =\dfrac{40}{41}}}$

<u>Hence the required answer is 40/41.</u>

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3 years ago