Question

For what value of x, two angles x + 7° and 2x + 11° are complementary?​

Answer 1

Step-by-step explanation:

We know that, sum of two complementary angles = 90°

∴ (2x – 7) + (x + 4) = 90°

2x - 7 + x + 4 = 90°

⇒ 2x + x – 7 + 4 = 90°

⇒ 3x – 3 = 90°

⇒ 3x = 90 + 3

⇒ 3x = 93

⇒ x = 93/3

x = 31

Hope this helps you buddy ✌️✌️✌️

Answer 2

Answer

The value of x is 24.

Step-by-step explanation

To Find :-

• The value of x.

★ Solution

Given that,

• Two angles (x + 7)° and (2x + 11)° are complementary.

We know,

Sum of two complementary angles = 90°,

Therefore,

• (x + 7)° + (2x + 11)° = 90°

⇒ (x + 7) + (2x + 11) = 90

⇒ x + 7 + 2x + 11 = 90

⇒ x + 2x + 7 + 11 = 90

⇒ 3x + 7 + 11 = 90

⇒ 3x + 18 = 90

⇒ 3x = 90 - 18

⇒ 3x = 72

⇒ x = 72/3

⇒ x = 24

We got, The value of x is 24.

V E R I F I C A T I O N :-

• (x + 7) + (2x + 11) = 90

By putting the value of x and simplifying the L.H.S :-

⇒ (x + 7) + (2x + 11)

⇒ (24 + 7) + (2*24 + 11)

⇒ (24 + 7) + (48 + 11)

⇒ 31 + 59

⇒ 90

∴ L.H.S = R.H.S = 90

Hence, Verified!