Question

an angle is 45° less than two times of its supplement then the greater angle is​

Answer 1

Step-by-step explanation:

Let X and Y be two supplementary angles. 

 We know X+Y=180∘     ............(1)

Let Y be greater angle. 

Y=2X−45∘  as per the question      ...........(2)

From (1) and (2), we have

X+2X−45=180

⇒3X=225∘

⇒X=75∘

Thus Y=180−75=105∘ ....It is the largest angle.

Answer 2

Step-by-step explanation:

Let X and Y be two supplementary angles.

We know X+Y=180

∘

............(1)

Let Y be greater angle.

Y=2X−45

∘

as per the question ...........(2)

From (1) and (2), we have

X+2X−45=180

⇒3X=225

∘

⇒X=75

∘

Thus Y=180−75=105

∘

....It is the largest angle.