Question

In a triangle largest angle is 20° more than the smallest angle . The third angle is 10°

more than the smallest angle .



a) What is the sum of the angles in a triangle ?

b) What are the measures of the angles ?​

Answer 1

Answer:

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Answer 2

Answer:

a) 180°

b) 1st angle = 70°

2nd angle = 50°

3rd angle = 60°

Step-by-step explanation:

Let the smallest angle be x

then the largest angle will be 20+x

and the third angle will be 10+x

Sum of angles in a triangle = 180°

so, 20+x+x+10+x = 180

30+3x = 180

3x = 180-30

3x = 150

x = 150/3

x = 50

therefore, largest angle = 20 + 50 = 70

smallest angle = 50

third angle = 10 + 50 = 60

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