Question

1. determine the value of x.

x = 100
x = 9
x = 10
x = 15

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, $4x + 6x=100$.

Step2: Combine like terms

Combining the left - hand side terms, we get $10x = 100$.

Step3: Solve for x

Dividing both sides by 10, we have $x=\frac{100}{10}=10$.

Answer:

$x = 10$