Question

- One of the equal angles of an

triangle.
The second angle of a triangle is 15° less than twice the first angle. The third angle is 20° more than
the second angle. Find the three angles.
of a triangle with sides (x + 1), (x + 2) and (x + 3) is 21 cm. Find the sides

Answer 1

The first angle of the triangle is 38°, the second angle is 61°, and the third angle is 81°.

Step-by-step explanation:

Let's denote the first angle as x. Therefore, the second angle is (2x - 15)° and the third angle is ((2x - 15) + 20)°.

According to the triangle angle sum theorem, the sum of the three angles in a triangle is always 180°.

Using this information, we can set up the equation: x + (2x - 15) + ((2x - 15) + 20) = 180.

Simplifying the equation gives us 5x = 190, which leads to x = 38.

So, the three angles are: x = 38°, 2x - 15 = 61°, and ((2x - 15) + 20) = 81°.

Learn more about Triangle angles