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 ​

Answer 1

Step-by-step explanation:

let the ratios be 2x and 3x

all angles of triangle sums upto 180

2x+3x+80=180

5x=180-80

5x=100

x=20

• angles are 2x= 2×20=40
• 3x=3×20=60

Answer 2

★ Correct Question :-

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

★ Solution :-

$\sf \leadsto {Angle \: sum \: property}_{(Triangle)} = {180}^{\circ}$

$\sf \leadsto \angle{1} + \angle{2} + \angle{3} = {180}^{\circ}$

$\sf \leadsto 2x + 3x + {80}^{\circ} = {180}^{\circ}$

$\sf \leadsto 2x + 3x + 80 = 180$

$\sf \leadsto 5x + 80 = 180$

$\sf \leadsto 5x = 180 - 80$

$\sf \leadsto 5x = 100$

$\sf \leadsto x = \dfrac{100}{5}$

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

Now, we can find the values of first and second angles of the triangle.

Measurement of first angle :

$\sf \leadsto 2x = 2(20)$

$\sf \leadsto \angle{1} = {40}^{\circ}$

Measurement of second angle :

$\sf \leadsto 3x = 3(20)$

$\sf \leadsto \angle{2} = {60}^{\circ}$

Therefore, the values of ∠1 and ∠2 are 40° and 60° respectively.