amy is cutting a triangle shaped baseball pennant banner out of felt. she cuts by cutting a base 6 inches long and 2 angles that each measures 75 degrees. what will the third angle measure?
The answer is 30 degrees
To find the third angle of the triangle, we can use the fact that the sum of all angles in a triangle is always 180 degrees.
Given that two angles are each 75 degrees, we can calculate the third angle as follows:
Step 1: Calculate the sum of the two known angles:
75 degrees + 75 degrees = 150 degrees
Step 2: Subtract the sum of the two known angles from the total sum of angles in a triangle (180 degrees) to find the measure of the third angle:
180 degrees - 150 degrees = 30 degrees
Therefore, the third angle of the triangle will measure 30 degrees.
To find the measure of the third angle of the triangle, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
Let's call the third angle x. We know that the first angle is 75 degrees, the second angle is also 75 degrees, and the sum of all three angles is 180 degrees.
So, we can set up the equation:
75 + 75 + x = 180
Now, we can solve for x by subtracting 150 from both sides of the equation:
x = 180 - 150
x = 30
Therefore, the third angle of the triangle will measure 30 degrees.
the angles add up to 180, so
x + 2*75 = 180