Question

Of the three angles of a triangle, one is twice the smallest abd another is three times the smallest. find the smallest angle.
1)30 degree
2) 40 degree
3) 35 degree
4) 50 degree
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Answer 1

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

∘

.

Answer 2

Answer:

30,90,and 60 it is your answer thankyou have a nice day