of the three angles of a triangle, is twice the smallest, third angle is 90 degree find the angles
Answers
Answered by
3
Answer:
Consider ∠C is the smallest angle among ∠ABC
According to the question
We can write it as
∠A=2∠C and ∠B=3∠C
We know that the sum of all the angles in a triangle is 180∘.
So we can write it as
∠A+∠B+∠C=180∘
By substituting the values
2∠C+3∠C+∠C=180∘
By addition
6∠C=180∘
By division
∠C=180/6
∠C=30∘
Now by substituting the value of ∠C we get
∠A=2∠C=2(30∘)=60∘
∠B=3∠C=3(30∘)=90∘
Therefore, ∠A=60∘,∠B=90∘ and ∠C=30∘.
Step-by-step explanation:
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Answered by
2
Answer:
2x+x+90=180
3x+90=180
3x=90=30
so <1=30
<2=60
<3=90
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