Question

Rajeshwari said "x,(x+20) and (x+70) are three angles of an obtuse angled triangle ."do you agree with her ? Give reasons

Answer 1

Answer:

Yes

Explanation:

The angles are :

Angle 1 = 30°

Angle 2 = 50°

Angle 3 = 100°

Answer 2

Answer:

Rajeshwari is correct.

Explanation:

Consider the provided information.

An obtuse triangle is a triangle having two acute angles (each less than 90°) and one obtuse angle (greater than 90°).

As we know the sum of all angles in a triangle is 180°

Therefore,

$x+(x+20)+(x+70)=180\\ 3x+90=180\\3x=90\\x=30$

Thus, one angle is 30° which is an acute angle.

Now find other two angles as shown:

$(x+20)=30+20=50$

$(x+70)=30+70=100$

Hence, one angle is obtuse angle i.e 100°

Therefore, Rajeshwari is correct.