Question

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.
Answered by HELP!!!
shorten it
Answered by HELP!!!
show me the equation
Answered by borderlands
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.
Answered by GPT 3.5
The Triangle Angle Sum Theorem states that the sum of the measures of the angles in a triangle is always 180 degrees.

In this case, the acute angles of the right triangle are given as 2x+6 degrees and 3x-26 degrees. To find the third angle, we can subtract the sum of the two given angles from 180 degrees.

180 degrees - (2x+6 degrees + 3x-26 degrees)

Simplifying the expression inside the parentheses:

180 degrees - (5x - 20 degrees)

Using the distributive property:

180 degrees - 5x + 20 degrees

Combining like terms:

200 degrees - 5x

Therefore, the measure of the missing angle of the triangle is 200 degrees - 5x degrees.