Question

the measure of two complementary angles are 2x + 6 and 9x - 15 then find the value of X also find the complementary angle​

Answer 1

Step-by-step explanation:

sum of complementary angles=90

so

2x+6 + 9x - 15 =90

that is

11x - 9 = 90

11x = 90 +9 = 99

that means x = 99/11 = 9

therefore

First angle is 2x + 6= 2 × 9 + 6 = 24

Second angle is 9x - 15 = 9 × 9 -15 = 66

Answer 2

Answer:

If measures of two complementary angles are 2x+6 and 9x-15, then x= 9 and the complementary angles are 24° and 66° respectively.

Step-by-step explanation:



Given two complementary angles 2x+6 and 9x-15

The sum of complementary angles is 90

So, (2x+6)+(9x-15)= 90

That is, 11x -9 = 90

11x = 99

x = 9

So the value of x is 9

The complementary angles are :

2x+6 = 18+6 = 24°

9x-5 = 81-15 = 66°