Show work! The sum of the angles of a triangle is 180. the first and second angles are equal. The third angle is 2.5 times the first. How large is the first angle?

Question

asked Feb 18, 2023 94.3k views

1 Answer

Cpf · Answer 1 · 2023-02-25T07:57:22+0000

Answer: 40°

Explanation:

First angle can be represented as x, second angle can be represented as y, and the third angle can be represented as z.

x + y + z = 180°

Since the first and second angles are equal, x = y, we can replace y with x.

x + x + z = 180°

The third angle is 2.5 times the first, which can be written as 2.5x.

x + x + 2.5x = 180 (now we solve for x)

4.5x = 180

x = 40°

Check:

40 + 40 + 40(2.5) = 180°

180°=180°