Answer:
x = 84 degrees
Step-by-step explanation:
To solve this, we need to keep the following 2 things in mind:
a. A straight line will have an angle of 180 degrees.
b. A triangle's inside angles will have a sum of 180 degrees.
Knowing the first fact, we know that the unnamed angle to the left in the triangle PLUS the 143 degree angle, will equal 180.
143 + v = 180
I'm calling that angle v here.
Subtracting 143 from both sides:
v = 180 - 143 = 37
That angle is 37 degrees.
Now, our 2nd fact says that all inside angles in a triangle will add to 180.
Angle 1 = 59 degrees (bottom right)
Angle 2 = 37 degrees (bottom left)
Angle 3 = x (top)
59 + 37 + x = 180
96 + x = 180
Subtracting 96 from both sides:
x = 84
Answer:
x = 84 degrees
