Question

station 4
find the value of x for each triangle below
a.
b.

Explanation:

Step1: Use the exterior angle theorem for triangle a

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
For triangle a, \(x = 85^{\circ}+50^{\circ}\)

Step2: Calculate the value of \(x\) for triangle a

\(x=135^{\circ}\)

Step3: Use the exterior angle theorem for triangle b

For triangle b, by the exterior angle theorem \(20x=(7x + 5)+60\)

Step4: Solve the equation for triangle b

$$
LATEXBLOCK0
$$

Answer:

a. \(x = 135^{\circ}\)
b. \(x = 5\)