Question

Two angles of a triangle are in the ratio 2:3 and its third angle is 80o . Find the other two angles of the triangl give proper answer and fast



it's compulsory please​

Answer 1

Answer:

40°, 60°

Step-by-step explanation:

Third angle = 80°

Let the other two angles be 2x and 3x

Sum of all the angles of a triangle = 180 [Angle sum property of a triangle]

2x + 3x + 80 = 180°

5x + 80 = 180°

5x = 180 - 80

5x = 100°

x = 100/5

x= 20°

∴ The other two angles are :

  2x = 2 × 20 = 40°

   3x = 3 × 20 = 60°

Answer 2

Correct Question :-

• Two angles of a triangle are in the ratio 2 : 3 and its third angle is 80°. Find the other two angles of the triangle.

Answer :-

• The other two angles of the triangle are 40° and 60°.

To find :-

• The other two angles of the triangle.

Step-by-step explanation :-

• Here, it is given that  the angles of triangle are in the ratio 2 : 3  and it's third angle is 80°. We have to find the other two angles of the triangle.

Let :-

• The other two angles of the triangle be "2x" and "3x".

We know that :-

$\underline{\boxed{\sf{Sum \: of \: all \: angles \: of \: a \: triangle = 180^{\circ}}}}$

Therefore,

$\mapsto \textsf{2x + 3x + 80 = 180}$

$\mapsto \textsf{5x + 80 = 180}$

$\mapsto \textsf{5x = 180 - 80}$

$\mapsto \sf{5x = 100}$

$\mapsto \sf x = \cancel{\dfrac{100}{5}}$

$\mapsto \sf{x = 20^{\circ}}$

-----------------------------------------------------------

Hence, the other two angles are :-

$\mapsto \sf{2x = 2 \times 20 = 40^{\circ}}$

$\mapsto \sf{3x = 3 \times 20 = 60^{\circ}}$

Hence :-

• The angles are 40° and 60°.

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