Question

The size of the largest angle in a triangle is 3 times the size

of the smallest angle.
The third angle is 10° more than the smallest angle.
Work out the size, in degrees, of each angle in the triangle.
You must show your working (let x be the smallest angle).

Answer 1

Let the smallest angle be X

We are given, X + 3X + X+10 = 180

X +3X + X+10 = 180

5X + 10 =180

5X= 170

X = 34

We got the smallest angle as 34 degrees

The largest angle is 3X which will be 3 × 34 = 102 degrees

the third angle will be 34 + 10 = 44 degrees

To see whether the answer is correct, add the three angles and they should give me the sum of 180.

44 + 34 + 102 = 180

Thus, the answer.

Answer 2

34˚, 102˚, 44˚

Explanation:

Smallest angle=x

Largest angle= 3x

Third angle= x+10

180=x+(x+10)+3x

180=5x+10

170=5x

x=170/5=34

x=34

3x= 3×34=102

x+10=34+10=44

34, 102, 44