Based on the definition of supplementary angles:
x = 5
The measure of angle 6 = 30°
What are Supplementary Angles?
If two angles are supplementary, when added together, their sum will equal 180 degrees.
We known that angles 5 and 6 are supplementary angles. Therefore, it means their sum would be equal to 180 degrees.
Hence, we would have the following equation:
m<5 + m<6 = 180
Substitute
40x - 50 + 5x + 5 = 180
Add like terms
45x - 45 = 180
45x = 180 + 45
45x = 225
45x/45 = 225/45
x = 5
The measure of angle 6 = 5x + 5 = 5(5) + 5
The measure of angle 6 = 30°
Learn more about supplementary angles on:
https://brainly.com/question/8992900
#SPJ1
