If the angles of a triangle are 2x+1, x, and x+15 what are the measures
of the angles from smallest to largest?

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°.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11