Question

7. One of the angles of a triangle is equal to the sum of the other two angles. If the ratio of the other two
angles is 1:2, find the angles of the triangle.​

Answer 1

Answer:

Let one angle of the triangle be ∠A and the other two triangles be ∠B,∠C.

Given, one of angles of a triangle is equal to the sum of the other two triangles.

⟹∠A=∠B+∠C

⟹∠A=3x+2x=5x

Sum of 3 angles of the triangle = 180

o

=∠A+∠B+∠C

=5x+3x+2x

⟹x=18

∴∠A=18×5=90

o

∴∠B=3×18=54

o

∴∠C=2×18=36

o

Answer 2

Answer:

We know that the sum of an angles of a triangle is 180°

= < a + <b + <c=180°

=<a= x

=<b= 1

<c=2

<a +<b +.<c = 180

x + 1 + 2= 180

x + 3 = 180

x= 180/3

x = 60° Answer I think so