Question

D and e are complementary. If m\d=5x+3 and m\e=3x-1 what is x

Answer 1

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.

$m\angle d+m\angle e=90^\circ$         (Complementary angles)

$(5x+3)^\circ+(3x-1)^\circ=90^\circ$

$8x+2=90$

$8x=90-2$

$8x=88$

Divide both sides by 8.

$x=11$

Therefore, the value of x is 11.