Question

if the angles (4x+4) and (6x-4) are supplementary angles,find the value of x​

Answer 1

Answer:

x = 18

Step-by-step explanation:

sum of 2 supplementary angles is 180

angle 1 + angle 2 = 180

(4x + 4) + (6x - 4) = 180

4x + 6x + 4 - 4 = 180

10x = 180

x = 180 ÷ 10

x = 18

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Answer 2

(4x + 4)° + (6x – 4)° = 180° (∵ Sum of the supplementary angle is 180°)

⇒ 4x + 4 + 6x – 4 = 180°

⇒ 10x = 180°

⇒ x = 18°

Thus, x = 18°