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What is the value of x?
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What is the value of x?

What is the value of x?-example-1
User Marcelo Camargo
by
5.4k points

1 Answer

2 votes

Answer:

x = 3

Explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠QRT is an exterior angle of the triangle

∠RTS and ∠RST are the 2 opposite interior angles, thus

45x = 25x + 57 + x

45x = 26x + 57 ( subtract 26x from both sides )

19x = 57 ( divide both sides by 19 )

x = 3

User Rcs
by
5.8k points
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