Question

an angle is 2/3 of its supplement. What is its magnitude​

Answer 1

Answer:

required angle = 72°

Step-by-step explanation:

let one angle be x

given , other angle = 2/3x

also , they are supplementary angles

x + (2/3)x = 180

(1×3 + 2×1)x/3 = 180

(3+2) x = 180×3

5x = 540

x= 540/5

x = 108°

(2/3)x = (2/3)×108° = 216/3 = 72°

required angle = (2/3)x = 72°

Answer 2

Answer:

72° is your answer

Step-by-step explanation:

• let,the angle is x
• so the next angle is 2x/3
• now, according to question,
• x+2x/3=180°
• 5x/3=180°
• 5x=540°
• x=108°
• now the other angle is 72°(Ans.)

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