Question

If an angle is 60° less than two times of its supplement, then the smaller angle is

Answer 1

Answer:

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Step-by-step explanation:

Let an angle be x and 180o−x be supplementary angles.

So, according to question,

⇒x=2(180o−x)−60o

⇒x=360o−2x−60o

⇒x+2x=300o

⇒3x=300o

⇒x=3300o

⇒x=100o

⇒1800−x=800

Greater angle =1000

Answer 2

Step-by-step explanation:

let the angle is x

then it's supplementary angle = 180-x

so

x= 2(180-x)-60

x=360-2x-60

3x=360-60

3x=300

x= 100

therefore it's supplementary angle is 80

so smaller angle is 80