two angles of triangle are in the ratio 2: 3 .the third angles is 50° . find other two angles​

2 thoughts on “two angles of triangle are in the ratio 2: 3 .the third angles is 50° . find other two angles​”

1. Answer

   The other two angles are 52° and 78°.

   Step-by-step explanation:

   To Find :–

   • The other angles of triangle.

   ★ Solution

   Given that,

   • The two angles of triangle are in the ratio of 2:3
   • The measure of third angle = 50°

   Let us assume the two ratio angles of triangle as 2x and 3x.

   We know,

   Sum of the interior angles of ∆ = 180°,

   Therefore,

   • 2x + 3x + 50° = 180°

   ⇒ 2x + 3x + 50 = 180

   ⇒ 5x + 50 = 180

   ⇒ 5x = 180 – 50

   ⇒ 5x = 130

   ⇒ x = 130/5

   ⇒ x = 26

   The value of x is 26.

   Now, The angles of the triangle are :-

   • 2x = 2*26 = 52°
   • 3x = 3*26 = 78°

   Hence,

   • The other two angles of triangle are 52° and 78°.

   _______________________________

   Now, V E R I F I C A T I O N :-

   • 2x + 3x + 50 = 180

   By simplifying the L.H.S [putting the value of angles] :-

   ⇒ 2x + 3x + 50

   ⇒ 52 + 78 + 50

   ⇒ 130 + 50

   Now, L.H.S = R.H.S = 180

   Hence, Verified!

   Reply

2. Answer:

   let the angles be 2x and 3x

   third angle is 50°

   then the sum of the unknown angles is 130°

   accordingly,

   3x+2x=130°

   5x=130°

   x=130°/5

   x=26°

   1st angle = 2*26= 52

   2nd angle = 3*26=78

   Reply