Question

One of the exterior angles of a triangle is 130 degrees and interior opposite angles are in the ratio 2:3. Find all the angles of the triangle no figure.

Answer 1

Answer:

Now from angle sum property oftriangle we all know that in atriangle sum of all three side is equal to 180° . Therefore third side of = 180° - (85°+45°) = 50° . Hence all three sides of triangleare 45°, 85°, 50° . The angles in atriangle are in the ratio 2:1: 3.

Answer 2

Answer:

52⁰, 78⁰, 50⁰ .

Step-by-step explanation:

Let the interior opposite angles be Angle A = 2x and Angle B = 3x.

Using exterior angle theorem for Triangle ABC

2x +3x = 130

( The exterior angle of a triangle is equal to the sum of the interior opposite angles)

or, 5x = 130

or, x = 26......(1)

Now, Angle A = 2 ×26 = 52⁰

Angle B = 3× 26 = 78⁰

Angle C = 180 -130

( Linear pair angles)

= 50⁰

Hence all the three angles are.....

52⁰, 78⁰, 50⁰ .

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