Question

answer me please please​

Answer 1

Answer:-

The Required Value Of (x + y) is 135°.

{i.e. Option (c)}

Explanation:-

Given:-

• An angle x is complementary of itself.
• Another angle y is supplementary of itself.

To Find:-

• The value of (x + y).

Concepts Used:-

• Sum of two complementary angles are always 90°.
• Sum of two supplementary angles are always 180°.

Now,

▪︎ It is given that x is complementary of itself, which means the complement of angle x is x itself, hence sum of these two angles must be equal to 90°.

↦ x + Complementary of x = 90°.

↦ x + x = 90°.

↦ 2x = 90°.

↦ x = 90°/2.

↦ x = 45°.

So The Value of x is 45°.

▪︎ Similarly supplement of angle y is y itself so sum of y and its supplement must be equal to 180°.

↦ y + its supplement = 180°.

↦ y + y = 180°.

↦ 2y = 180°.

↦ y = 180°/2.

↦ y = 90°.

So The Value Of y is 90°.

Therefore,

↦ (x + y).

= (45° + 90°).

= (135°)

= 135°.

Therefore the required value of (x + y) is 135°.

So The Final Answer Is Option (c).

Answer 2

Question:-

An angle x is complementary of itself and an angle y is supplementary of itself then supplementary of the angle (x + y) is

Answer:-

Complementary angles: If m + n = 90° then m and n are complementary angles of each other.

Supplementary angles: If m + n = 180° then m and n are supplementary angles of each other

Given:

Angle x is complementary of itself

=> x + x = 90°

=> 2x = 90°

=> x = (90/2)°

=> x = 45°

Given:

Angle y is supplementary of itself

=> y + y = 180°

=> 2y = 180°

=> y = (180/2)°

=> y = 90°

To find:

(x + y)

= (45° + 90°)

= 135°

Ans. (x + y) = 135° => Option (c)