Question

an exterior angle of a triangle measure 110 degree and its interior opposite angle are in the ratio 2 ratio 3 find all the angle of the triangle​

Answer 1

Answer:

Let the given interior opposite angles be (2x) ° and (3x) °

We know that an exterior angle of a triangle is equal to the sum of its interior opposite angles.

∴ 2x+3x=110 °

5x=110

x=110/5=22

∴ ∠A=2x=2=2×22=44°

∠B=3x=3×22=66 °

But ∠A+∠B+∠C=180 °

44 ° +66° +∠C=180 °

110+∠C=180 °

∠C=180°−110°

∠C=70°

∠A=44 ° , ∠B=66 ° , ∠C=70 °

Answer 2

Answer:

Let the given interior opposite angles be (2x) ° and (3x) °

We know that an exterior angle of a triangle is equal to the sum of its interior opposite angles.

∴ 2x+3x=110 °

5x=110

x=110/5=22

∴ ∠A=2x=2=2×22=44°

∠B=3x=3×22=66 °

But ∠A+∠B+∠C=180 °

44 ° +66° +∠C=180 °

110+∠C=180 °

∠C=180°−110°

∠C=70°

∠A=44 ° , ∠B=66 ° , ∠C=70 °

Step-by-step explanation:

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