One angle in a triangle is 10 degrees more than the smallest angle in the triangle, whereas the other angle is 20 degrees more t

Question

Andrej [43]

3 years ago

15

One angle in a triangle is 10 degrees more than the smallest angle in the triangle, whereas the other angle is 20 degrees more t

han the smallest angle. Find the measure of the three angles.

Mathematics

1 answer:

elixir [45] · Answer 1 · 2022-01-29T19:01:40+03:00

In a triangle, the three interior angles always add to 180°

<span>Three angles of a triangle are x, (x+10) and (x+20)
</span>
x + x+10 + x+20 = 180
3x + 30 = 180
3x = 180 - 30
3x = 150
x = 150/3
x = 50° ← smallest angle

second angle = x + 10 = 50 + 10 = 60°

third angle = x + 20 = 50 + 20 = 70°

Answer:
50°, 60° and 70°