Answer:
x = 45
Step-by-step explanation:
We know that the three angles of a triangle add up to 180. So we can add all the points equal to 180 to find the value of x.
a + b + c = 180
45 + x + 2x = 180
Combine terms.
45 + 3x = 180
Subtract 45 from both sides.
3x = 135
Divide both sides by 3 to get
x = 45.
To prove this, put x into the original addition of the angles.
45 + x + 2x = 180
Substitute 45 into x.
45 + 45 + 2(45) = 180
Multiply 2 and 45.
45 + 45 + 90 = 180
Add terms.
180 = 180.
