Given:
∠d and ∠e are complementary angles.
m∠d=5x+3 and m∠e=3x-1
To find:
The value of x.
Solution:
If two two angles are complementary angles, them there sum is 90 degrees.
[tex]m\angle d+m\angle e=90^\circ[/tex] (Complementary angles)
[tex](5x+3)^\circ+(3x-1)^\circ=90^\circ[/tex]
[tex]8x+2=90[/tex]
[tex]8x=90-2[/tex]
[tex]8x=88[/tex]
Divide both sides by 8.
[tex]x=11[/tex]
Therefore, the value of x is 11.
