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yuradex [85]
3 years ago
11

If the measure of the second angle of triangle is twice that of the first, indicate the measure of the third angle.

Mathematics
2 answers:
Kobotan [32]3 years ago
8 0

Answer:

Here,

Let the angles be x, 2x and 6x respectively.

Step-by-step explanation:

Now,

x+2x+6x = 180° (sum of angles of a triangle)

or,9x=180°

or,x=180°/9

•°• x= 20°

•°•2x= 2×20°= 40°

•°• 6x= 6×20°=120°

Natalija [7]3 years ago
5 0
120° , All the angles add up to 180 degrees.
Call the smallest angle
x
, so the second will be
2x
and as the third is three times the second it will be
6x
. We have:
x
+
2
x
+
6
x
=
180

9
x
=
180
⇒
x
=
20

The third angle is
6
x
=
120
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