Question

which equation can be used to find the value of x?
x = 45 + 40
find the value of x.
x =
(there is a triangle with angles 45°, 40° and an exterior angle x°)

Explanation:

Step1: Use 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. Here, the exterior angle \(x^{\circ}\) is equal to the sum of the two non - adjacent interior angles \(45^{\circ}\) and \(40^{\circ}\), so the formula is \(x = 45+40\).

Step2: Calculate the value of \(x\)

We know that \(45 + 40=85\).

Answer:

\(x = 85\)