Question

Whats the answer to this question

Answer 1

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 and ∠'s RTS and RST are the opposite interior angles, hence

45x = 25x + 57 + x

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

19x = 57 ( divide both sides by 19 )

x = 3

Answer 2

An exterior angle is equal to the sum of the two opposite inside angles.

45x = 25x + 57 +x

Simplify the right side:

45x = 26x +57

Subtract 26x from each side:

19x = 57

Divide each side by 19"

x = 57 / 19

x = 3