Question

(2x - 50)° and (x + 20)° are a pair of complementary angles. x = ________ ⁰ . (Write only the value of x without the unit degree)​

Answer 1

Step-by-step explanation:

(2x-50)°and (x+20)° are a pair of angles

So 2x-50+x+20=90

=> 3x-30=90

=> 3x=90+30

=> 3x=120

=> x=120/3

=> x=40

so the value of x is 40.

hope you got it.

Answer 2

The value of x = 40

Given :

(2x - 50)° and (x + 20)° are a pair of complementary angles

To find :

The value of x (without the unit degree)

Concept :

Two angles are said to be complementary if sum of the angles is 90°

Solution :

Step 1 of 2 :

Form the equation to find the value of x

Here it is given that (2x - 50)° and (x + 20)° are a pair of complementary angles

We know that two angles are said to be complementary if sum of the angles is 90°

So by the given condition

(2x - 50)° + (x + 20)° = 90°

Step 2 of 2 :

Find the value of x

(2x - 50)° + (x + 20)° = 90°

⇒ (2x - 50) + (x + 20) = 90

⇒ 3x - 30 = 90

⇒ 3x = 90 + 30

⇒ 3x = 120

⇒ x = 120/3

⇒ x = 40

Hence the value of x = 40

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