The angles of a triangle are in the ratio of 2:4:6.Find out the measure of the angles
Answers
Answered by
1
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
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Answered by
1
Answer:
30,60 and 90
Explanation:
Let ,the angles are 2x,4x and 6x
Therefore, 2x+4x+6x=180
or, 12x =180
or, x = 15
So the angles are 2x =2×15=30
4x=4×15=60
6x=6×15=90
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