Question

The supplement of an angle is 6 degree less than three times it complement. find the angle.​

Answer 1

Answer:

Let the angle be x

Then according to question

x=2(180  

∘

−x)−6  

∘

 

⇒x+6  

∘

=360  

∘

−2x

⇒3x=354  

∘

 

⇒x=118  

∘

 

Hence the required angle is 118  

∘

.

Step-by-step explanation:

Answer 2

Answer:

The required angle is 42°

Step-by-step explanation:

Given,

The supplement of an angle is 6 degree less than three times it complement

Recall the concept

Two angles are supplementary, then the sum of the two angles = 180°

Two angles are said to complementary, then the sum of the two angles = 90°

Solution:

Let 'x' be the required angle

Supplementary angle of 'x' = 180 -x

Complementary angle of 'x' = 90 -x

6 degree less than three times it complement = 3(90 -x) - 6

Since The supplement of an angle is 6 degree less than three times it complement, we have

3(90 -x) - 6 = 180 -x

270 -3x - 6 = 180 -x

270 -6 -180 = -x+3x

2x = 84

x = 42°

∴ The required angle is 42°

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