Math, asked by khushboosingh02147, 5 months ago

One angle of a triangle is 30 degree and the other two angles are equal .What will be the measure of each of these angles??​

Answers

Answered by joydebchowdhury25127
8

Answer:

total measure of a triangle = 180 degree

so other two equal angles = 180 - 30 = 150/2 = 75

so other two angles are 75 degree each

Answered by Flaunt
18

Given:

One angle of a triangle is 30°

To find :

Measure of each of these two angles .

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Step by step explanation:

Let the first angle be A

second angle be B

Third angle be C

Now ,adding these all angles of a triangle

∠A+∠B+∠C=180°(Sum of all angles in a triangle is 180°)

=>30°+∠B+∠C=180

=>∠B+∠C=150°

Given that other two angles are equal so ,Other two angles be 75° each (75°+75°=150)

=>∠A=30°

=>∠B=75°

=>∠C=75°

Check:

∠A+∠B+∠C=180°

=>30°+75°+75°=180°

Some properties of Triangle:

  • The sum of angles in a triangle is 180°
  • The sum of two sides of a triangle will be greater than the third side
  • The sum of two interior angles is equal to the exterior angle (Exterior angle theorem)
  • A triangle with vertices A,B & C are denotes as ∆ABC

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