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2 years ago

Can someone please help I will give you 30 points and brainliest if the answer is right also no links please

Mathematics

1 answer:

Naya [18.7K]2 years ago

3 0

Answer:

x = 9

Step-by-step explanation:

Exterior Angle property of a triangle:

The Exterior Angle property states that:

"The exterior angle of a triangle(the Angle obtained by extending one of the sides of the triangle) is equal to the sum of it's interior opposite angles."

In the given triangle RST:

∠VRS is the exterior angle, and

∠RTS and ∠RST are the interior opposite angles.

By using the above listed property,

∠VRS = ∠RTS + ∠RST

(Substituting the values of of angles from the figure)

=> (9x + 2) = 51 + (3x + 5)

=> 9x + 2 = 51 + 3x + 5

isolating x

=> 9x - 3x = 51 + 5 - 2

=> 6x = 54

dividing both sides by 6

=> x = 9 

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Ganezh [65]

the sum of supplementary angles is 180 degree

therefore

x +2x = 180°

3x = 180

X = 180/3 = 60°

the value of X is 60°

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