Question

find the value of x.
o x = 2
o x = 3
o x = 33
o x = 52
(25x)°
(45x)°
(57 + x)°

Explanation:

Step1: Apply exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(45x=25x+(57 + x)\).

Step2: Simplify the equation

First, expand the right - hand side: \(45x=25x + 57+x\). Combine like terms on the right - hand side: \(45x=26x + 57\).

Step3: Solve for \(x\)

Subtract \(26x\) from both sides: \(45x-26x=26x + 57-26x\). This gives \(19x=57\). Then divide both sides by 19: \(x=\frac{57}{19}=3\).

Answer:

\(x = 3\)