Question

An angle is 33° less than 2 times of its supplement than the smaller angle is

a)81°
b)129°
c)71°
d)109°



Please answer with propper explanation

Answer 1

Answer:

Let the angle be X degree.

Then its supplement is (180-X) degree

Given that, Angle - Supplement = 30.

or, X-(180- x)=30

or, X-180+X=30

2X-180=30

X=30+180/2

X=210/2

X=105

Now,

180-X=180–105=75

Hence, the angles are 105 and 75 degrees.

Answer 2

71°.

Let x degree be the angle .

And its supplement angle be (180-X) degree

According to the question,

x= 2(180-x)-33

x= 360-2x-33

x=327-2x

x+2x =327°

3x= 327

x=327/3

x=109°

Now,

180-x=180–109°=71°

Hence, the angles are 109° and 71° degrees.

The smaller angle is 71°.

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