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7 votes
The ratio of the three angles of a triangle is 2:4:6. What is the measure of the

SMALLEST angle?

User Mikal
by
8.0k points

1 Answer

9 votes
The measures of the angles are 30, 60 and 90 degrees.
Step-by-step explanation:
I assume the question should read "the measures of the ANGLES of the triangle are in the ratio 2:4:6.
If the angles are in the proportion 2:4:6, the measures of the angles have the same scale factor
x
. And, the sum of the measures of the angles of a triangle is
180
.

2
x
+
4
x
+
6
x
=
180

12
x
=
180

12
x
12
=
180
12

x
=
15

The measures of the angles are:
2
x
=
2
(
15
)
=
30

4
x
=
4
(
15
)
=
60

6
x
=
6
(
15
)
=
90
User Reddi
by
8.2k points

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