Question

I need to know how to do it and the answer

Answer 1

The value fo x in the figure is solved to be 40

How to solve for x

To find x, we investigate the diagram to see that, angle AEC (2x + 40) and angle CEB (x + 20) are angle on a straight line

This knowledge help us arrive at the equation

angle AEC + angle CEB = 180

(2x + 40) + (x + 20) = 180

3x + 60 = 180

3x = 180 - 60

3x = 120

x = 40

Answer 2

Step-by-step explanation

Given that

`\begin{gathered} \angle AEC=(2x+40)^0 \\ \angle CEB=(x+20)^0 \end{gathered}`

From the image of the graph, we can see that

`\begin{gathered} \angle AEB+\angle CEB=180^0(sum\text{ of adjacent angles on a straight line\rparen} \\ 2x+40+x+20=180 \\ 3x+60=180 \\ subtract\text{ 60 from both sides} \\ 3x+60-60=180-60 \\ 3x=120 \\ Divide\text{ both sides by 3} \\ (3x)/(3)=(120)/(3) \\ x=40 \end{gathered}`

Answer: x = 40 degrees