Question

(6x-40)° + (5x+9)° + (3x+15)°
Find the value of x​
Answer is 14​

Answer 1

Answer:

answer is 14

Step-by-step explanation:

6x – 40)° + (5x + 9)° + (3x + 15) ° = 180° (∵ Sum of adjacent angles on straight line)

⇒ 6x – 40 + 5x + 9 + 3x + 15 = 180°

⇒ 14x – 16 = 180°

⇒ 14x = 180 + 16 = 196

⇒ x = 14

Thus, x = 14

Answer 2

Answer:

14 is the required value of x.

Explanation:

(6x - 40)° + (5x + 9)° + (3x + 15)°

As we know that the sum of the adjacent angles created when a ray is in a straight line is 180°.

• A linear pair of angles is defined as two neighbouring angles whose sum is 180 degrees.

• Due to the fact that supplementary angles add up to 180°, all linear pairings are supplementary.

Step 1:

We have, (6x - 40)° + (5x + 9)° + (3x + 15)°

⇒ 14x -31 + 15  = 180°

⇒14x -16 = 180

⇒ 14x = 180 + 16 = 196

⇒ x =$\frac{196}{14}$ = 14

Final answer:

Hence, 14 is the required value of x.

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