Question

∠ABC and ∠DBC are complementary angles. If m∠ABC=6x+13 and m∠DBC=4x−3 what is the value of x?

I NEED HELP PLS

Answer 1

x=8

Explanation:

Complementary angles are equal to 90 degrees.

angle ABC + angle DBC = 90

6x+13+4x-3=90

Combine like terms

6x+4x+13-3=90

10x+10=90

get x alone by subtracting 10 on both sides

10x=80

divide 10 on both sides

x=8