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??
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Answered by
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
18
Given:
One angle of a triangle is 30°
To find :
Measure of each of these two angles .
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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