Question

If <AOC and <BOC are complementary angles and

<AOC = (3x + 10)° and <BOC = (2x + 50)° , then the value

of x is____​

Answer 1

Answer:

Complementary angles are those whose sum is 90.

Solution:

(3x+10) + (2x+50)=90

=> 3x + 10 + 2x + 50 = 90 [Removing brackets]

=> 5x + 60 = 90 [Adding numbers]

=> 5x = 90-60 [Taking 60 to the LHS]

=> 5x= 30 [Subtracting 60 from 90]

=> x= 30/5

=> x=6

Hence the value of x is 6