Question

The two acute angles of an obtuse angled triangle whose obtuse angles measures 131 degree are in the Ratio 2:5 find the Angles

Answer 1

Answer:

Step-by-step explanation:

Let two acute angles be 2x and 5x.

Sum of all angles in triangle is 180.

So,131+2x+5x=180

131+7x=180

7x=49

x=7

So,2x=14

&5x=35

So three angles are 14,35 and 131

Answer 2

Answer:

The reaming angles are 14° and 35°. Step-by-step explanation:

Solution :

In an obtuse angle triangle, one angle is more than 90 degree and less than 180 degree.

The sum of all angles of a triangle is 180 degree.

Let the angles be -

• One as 2y
• Other as 5y

⇒ 131° + 2y + 5y = 180°

⇒ 131° + 7y = 180°

⇒ 7y = 180° - 131°

⇒ 7y = 49°

⇒ y = 49/7

⇒ y = 7

★ Value of 2y

⇒ 2(7) = 14° .

★ Value of 5y

⇒ 5(7) = 35°

Therefore, the reaming angles are 14° and 35°.