Question

Explain how you have solved for x and show your workings out. I will award the brainliest 25 points!

Answer 1

Answer:

The value of $x$ is 10º.

Step-by-step explanation:

From Euclidean Geometry we remember that the sum of internal angles within a triangle equals to 180º. We present the resulting triangle after applying some geometric handling in the image attached below. Then, the triangle satisfies the following equation:

$100^{\circ} + (80^{\circ}-5\cdot x)+(4\cdot x +10^{\circ}) = 180^{\circ}$ (1)

$190^{\circ} - x = 180^{\circ}$

$x = 10^{\circ}$

The value of $x$ is 10º.