Directions: Find the missing measure of each angle
How do I do this?
It's a triangle,
angle one 2x + 15
x
45degrees
What is the total of the measures of the interior angles of a triangle?
It's a number, but I am not going to tell you the value; instead, I will use T, for total.
We know that the sum of the 3 angles is going to equal that total. So we have something like:
Angle1 + Angle2 + Angle3 = T
Just plug in what you are given for the angles, and what the total must be.
To find the missing measure of each angle in a triangle, we can start by using the fact that the sum of the angles in a triangle is always 180 degrees.
In this case, we are given two angles: Angle one is represented as 2x + 15, and angle two is given as 45 degrees. We need to find the missing angle, which is represented by x.
First, we can set up an equation using the sum of the angles in a triangle:
angle one + angle two + missing angle = 180 degrees
(2x + 15) + 45 + x = 180
Combining like terms, we get:
3x + 60 = 180
Next, we can isolate x by subtracting 60 from both sides of the equation:
3x = 180 - 60
3x = 120
Finally, we can solve for x by dividing both sides of the equation by 3:
x = 120 / 3
x = 40
Therefore, the missing angle (angle three) is 40 degrees.