Question

if one angle of a triangle is 72 degree and the difference of the other two angels is 12 degree find the other angel ​

Answer 1

Answer :-

• Other two angles are 48° and 60° respectively.

Given :-

• One angle of a triangle is 72° and the difference of the other two angels is 12°.

To Find :-

• Other angles.

Solution :-

Let

• One angle of the triangle be x
• Other triangle will be x + 12

→ Difference of the two angles is 12

Here

• One angle is given as 72°

As we know that

Sum of all angles of a triangle is 180°.

According to question :-

⇒ 72 + x + x + 12 = 180

⇒ 72 + 2x + 12 = 180

⇒ 72 + 12 + 2x = 180

⇒ 84 + 2x = 180

⇒ 2x = 180 - 84

⇒ 2x = 96

⇒ x = 96/2

⇒ x = 48

Now

• First angle = x = 48°
• Second angle = x + 12 = 48 + 12 = 60°

Hence, the other two angles are 48° and 60° respectively.