Question

The measures of the angles of a triangle are in the extended ratio 2:3:4. What is the measure of the smallest angle?

Answer 1

Let
2
x
the smallest angle ,
3
x
the second angle ,
4
x
the third angle hence we have that
2
x
+
3
x
+
4
x
=
180
⇒
9
x
=
180
⇒
x
=
20
The smallest angle is
40