Question

(4x - 50)° and (x + 60)° are a pair of supplementary angles. x = ________ ⁰

Answer 1

Answer:

(4x - 50) + (x + 60) = 180°......(supplementary angels)

4x - 50 + x + 60 = 180°

5x + 10 = 180°

5x = 180 - 10

5x = 170°

x = 170 ÷ 5

x = 34°

therefore proof :

(4(34) - 50) + (34 + 60) = 180

(136 - 50) + ( 94) = 180

(86) + (94) = 180

180° = 180°

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Answer 2

Answer:

The value of x=34°

Step-by-step explanation:

Given:-

(4x - 50)° and (x + 60)° are a pair of supplementary angles.

To find:-

Value of x?

Solution:-

Given angles are (4x - 50)° and (x + 60)°

Since they are supplementary angles,so their sum is equal to 180°

4x-50+x+60=180°

=>5x+10=180°

=>5x=180°-10°

=>5x=170°

=>x=170°/5

=>x=34°

Therefore,x=34°

Answer:-

The value of x=34°

Check:-

Value of x=34°

4x-50=4(34)-50=136-50=86°

x+60=34+60=94°

Their sum=86°+94°=180°

They are supplementary angles.

Verified ✅