Question

How do I create an equation and solve for x

Answer 1

Equation: (2x + 30) + 106 = 180

x = 22°

Explanation:

We know that the missing angle from within the triangle and the expression 2x + 30 makes 180 so we can say;

180 - (33 + 41) = missing angle

180 - 74 = missing angle

106° = missing angle

Now we can set up our equation to solve for x:

(2x + 30) + missing angle = 180°

(2x + 30) + 106 = 180° => This would be our equation:

Now let's solve:

2x + 30 + 106 = 180°

2x + 136 = 180

2x = 180 - 136

2x = 44

x = 44/2

x = 22°

Hope this helps!

Answer 2

x = 22

Explanation:

To solve this the first thing you would need to do is solve the angle that is unmarked in the triangle. To do this you would use the knowledge that the interior agnles of triangles alwasy equal to 180 degrees.

In this case, you would add 33 + 41 = 74 and then you would

subtract 180 - 74 = 106

The next step would be to find the question mark 2x + 30 = ?

To do this you would have to use the 106 degrees from the previous step.

Knowing that (2x + 30) + 106 = 180 degrees this should be easy to solve.

(the angles on either side of a line that is split always add to equal 180 degrees)

You would then subtract 180 - 106 = 74

Now we know that 2x + 30 = 74

Now you would subtract 30 fom both sides to find that 2x = 44

All you have to do now is divide each side by to find that x = 22