Answer:
6.) No, you do not agree with Ted.
7.) x = 34 degrees
Step-by-step explanation:
6.) For a triangle to be valid, it must meet these requirements:
a+b>c
a+c>b
b+c>a
If it fails a single one, then it is invalid.
For example: 6+11 is not greater than 4. Therefor, Ted is incorrect
7.) Though you see a square, or rectangle (whatever you want to call it), you can break it up into 2 triangle, only 1 of which you need to solve for.
We have these clues:
angle 1 = x
angle 2 = 56 degrees
angle 3 is a right angle
Any triangle must have its angles sum to 180 degrees
We also know that right angles are equal to 90 degrees.
Our updated clues:
angle 1 = x
angle 2 = 56 degrees
angle 3 = 90 degrees
angles 1+2+3 must equal 180
So we can make this equation:
x+56+90=180
Add like terms and solve for x:
x = 34
