If the angles of a triangle are 2x+1, x, and x+15 what are the measures

Mathematics

1 answer:

sammy [17]3 years ago

3 0

Answer:

The three angles of the triangle are 41°, 56° and 83°.

Step-by-step explanation:

The three angles of a triangle are given by 2x + 1, x and x + 15.

Now, we know the property of triangle, that 180° is the sum of all the angles of a triangle.

Hence, (2x + 1) + x + (x + 15) = 180°

⇒ 4x + 16 = 180

⇒ 4x = 164

⇒ x = 41°

So, 2x + 1 = 83° and x + 15 = 56°

Therefore, the three angles of the triangle are 41°, 56° and 83°.

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