Question

If (x – 5)o and (x + 5)o are complementary angles then the value of x is
A50
B35
C45
D100​

Answer 1

Step-by-step explanation:

x-5+x+5=90

or,2x=90

or,x=45

c)45° is the answer

Answer 2

Question :-

• If (x - 5)° and (x + 5)° are complementary angles, then the value of x is :-

• 50.
• 35.
• 45.
• 100.

Answer :-

• The value of x is 45.

Given :-

• (x - 5)° and (x + 5)° are complementary angles.

To find :-

• The value of x.

Step-by-step explanation :-

It has been given that (x - 5)° and (x + 5)° are complementary angles.

We know that :-

$\underline{\boxed{\sf Complementary \: angles \: add \: up \: to \: 90^{\circ}.}}$

So, these angles must be equal to 90°.

$\tt \implies x - 5 + x + 5 = 90$

Adding x and x,

$\tt\implies 2x - 5 + 5 = 90$

Adding 5 to -5,

$\tt\implies 2x + 0 = 90$

Transposing 0 from LHS to RHS, changing it's sign,

$\tt \implies 2x = 90 - 0$

Subtracting 0 from 90,

$\tt\implies 2x = 90$

Transposing 2 from LHS to RHS, changing it's sign,

$\tt \implies x = \dfrac{90}{2}$

Dividing 90 by 2,

$\tt\implies x = 45.$

-----------------------------------------------------------

• Hence, the value of x = 45.