Answer:
x = 58°
Step-by-step explanation:
First, we need to find the green angle on the bottom left of the triangle.
We know that straight lines are supplementary, or equal 180 degrees, so we can say that 114° + a (a variable representing the measure of the angle) = 180°.
Equation:
114 + a = 180
Solve:
114 + a = 180
-114 -114
a = 66
Therefore, the value of the green angle is 66 degrees.
Now, we need to find the value of angle x.
We know that the sum of the angles in a triangle is 180 degrees.
So, 56° + 66° + x = 180°
Equation:
56 + 66 + x = 180
Add:
56 + 66 + x = 180
122 + x = 180
Subtract:
122 + x = 180
-122 -122
x = 58
Therefore, x is 58 degrees.
