Question

The measures of the angles of a triangle are (2x), (x+25) and (3x+5).


1. Find x and the measurement of each angle. (You should have 4 answers).


x =


2x =


x + 25 =


3x + 5 =

Answer 1

Step-by-step explanation:

2x+x+25+3x+5=180[ASP]

6x=150

x=25

2x=50

x+25=50

3x+5=80

Answer 2

Answer:

• x = 25°

• The measures of the angles of the triangle are 50°, 50° and 80°

Step-by-step explanation:

Given :

The measures of the angles of a triangle are (2x), (x + 25) and (3x + 5).

To find :

the value of x and the measurement of each angle.

Solution :

The sum of the measures of the three angles in a triangle is equal to 180°

 2x + x + 25 + 3x + 5 = 180°

   6x + 30 = 180°  

      6x = 180° - 30

      6x = 150°

       x = 150°/6

       x = 25°

Therefore, x = 25°

• 2x = 2(25°) = 50°
• x + 25 = 25° + 25° = 50°
• 3x + 5 = 3(25°) + 5 = 75° + 5° = 80°

So, the measures of the angles of the triangle are 50°, 50° and 80°