Question

find the value of x.
27
35
3
2

Explanation:

Step1: Apply the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(10x + 2=(2x + 1)+25\).

Step2: Simplify the equation

$$
LATEXBLOCK0
$$

Step3: Subtract \(2x\) from both sides

$$
LATEXBLOCK1
$$

Step4: Subtract \(2\) from both sides

$$
LATEXBLOCK2
$$

Step5: Divide both sides by \(8\)

$$x=\frac{24}{8}=3$$

Answer:

\(3\)