Question

Find the value of x for which the angles (2x-5) and (x-10) are the complementary angles

Answer 1

Q) Find the value of x for which the angles (2x - 5) and (x - 10) are the complementary angles.

Answer:- x = 35

Explanation:-

We know that a complementary angle means that the sum of 2 angles is equal to 90°

Here 2 angels are :- (2x - 5) and (x - 10)

So,

2x - 5 + x - 10 = 90

2x + x - 5 - 10 = 90

3x - 15 = 90

3x = 90 + 15

3x = 105

x = 105/3 = 35

x = 35

Answer 2

Answer :-

x = 35°

Given :-

( 2x -5) and (x - 10)

To find :-

The value of x for which the angles are complementary.

Solution:-

Complementary angles :- Two angles whose sum is 90° is known as complementary angles.

For the two angles should be complement the sum is 90°.

→$(2x-5) + (x-10) = 90^{\circ}$

→$2x + x -5 -10 = 90$

→$3x -15 = 90$

→$3x = 90 +15$

→$3x = 105$

→$x = \dfrac{105}{3}$

→$x = 35^{\circ}$

= 2x -5

= 2 × 35 -5

= 70 - 5

= 65°

= x - 10

= 35 - 10

= 25°

hence,

The value of x for which the angles is complementary is 35°.