A right triangle has acute angles measuring 2x+6 degrees and 3x−26 degrees. Use the Triangle Angle Sum Theorem to find the measures of the missing angles of the triangle.(4 points)
please keep it short and 7th grader like
The sum of all angles in a triangle is always 180 degrees.
So, the measure of the third angle in the triangle can be found by adding the given angle measures and subtracting from 180 degrees.
Third angle = 180 - (2x+6 + 3x-26)
Simplify the expression to find the third angle.
maybe a little less sus
The sum of all angles in a triangle is 180 degrees.
To find the third angle, add the given angle measures and subtract from 180 degrees.
Third angle = 180 - (2x+6 + 3x-26)
Simply the expression to find the third angle.
and the answer please
Third angle = 180 - (2x+6 + 3x-26)
Third angle = 180 - (5x - 20)
Third angle = 180 - 5x + 20
Third angle = 200 - 5x
Therefore, the measure of the third angle in the triangle is 200 - 5x degrees.
what is x
To find the value of x, we first set up an equation using the angles in a triangle sum to 180 degrees:
2x + 6 + 3x - 26 + (200 - 5x) = 180
Combine like terms:
- x - 20 = 180
Add x and 20 to both sides:
- x = 200
Divide by -1:
x = -20
Therefore, x = -20.