SOLUTION: Two angles are complementary. The measure of ∠ABC is x° and the measure of ∠DBC is (3x + 10)°. What is the value of x? Enter your answer in the box.

Algebra ->  Angles -> SOLUTION: Two angles are complementary. The measure of ∠ABC is x° and the measure of ∠DBC is (3x + 10)°. What is the value of x? Enter your answer in the box.       Log On


   

Question 1080877: Two angles are complementary. The measure of ∠ABC is x° and the measure of ∠DBC is (3x + 10)°. What is the value of x? Enter your answer in the box.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Two angles are Complementary when they add up to 90 degrees (a Right Angle right angle ).
The measure of < ABC=x° and the measure of < DBC=%283x+%2B+10%29°, than the value of x will be:
x%2B3x%2B10=90
4x=90-10
x=80%2F4
x=20
so,
< ABC=20°
< DBC=%283%2A20+%2B+10%29=70°