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The measures of three angles of a triangle are given (8x-5)°, (2x)°, and (3x-10)°. what is the measure of the largest angle?

The measures of three angles of a triangle are given (8x-5)°, (2x)°, and (3x-10)°. what-example-1
User Kimbebot
by
6.8k points

1 Answer

7 votes
you have three angles,

we know that the some of the three angles of a triangle is 180 degrees,

then
(
8
x

5
)
+
(
2
x
)
+
(
3
x

10
)
=
180
, (1)

solve the eq. (1),

8
x

5
+
2
x
+
3
x

10
=
180
8
x
+
2
x
+
3
x

5

10
=
18
13
x

15
=
180
13
x
=
180
+
15
13
x
=
195
x
=
195
13
x
=
15
then we have to substitute the value of x = 15 in each expression of the angles
8
x

5
=
8

15

5
8
x

5
=
120

5
8
x

5
=
115
2
x
=
2

15
=
30
3
x

10
=
3

15

10
=
45

10
=
35
So the largest angle is (8x-5)
User Coralvanda
by
6.2k points