The angles of a triangle are 128, 5x+10 and 9x. What is the value of x?

Mathematics

2 answers:

Advocard [28]3 years ago

5 0

Angles in a triangle total 180°

180=128+5x+10+9x
180-128-10=5x+9x
42=14x
x=3

Naddika [18.5K]3 years ago

3 0

Answer:

The value of x is 3.

Step-by-step explanation:

It is given that the angles of a triangle are 128, 5x+10 and 9x.

According to the angle sum property of a triangle, the sum of all interior angles of a triangle is 180 degrees.

$128+5x+10+9x=180$

$138+14x=180$

$14x=180-138$

$14x=42$

Divide both sides by 14.

$x=3$

Therefore the value of x is 3.

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