Question

[14] Two angles of a triangle are equal and third angle is greater than each one of them by 18°. Find the

angles.​

Answer 1

Answer:

The angles are 54, 54 and 52

Step-by-step explanation:

Let the equal angles be x

Third angle = x + 18

x + 18 + x + x = 180........angle sum property

3x + 18 = 180

3x = 180 - 18

3x = 162

x = 54

Third angle = x + 18

Third angle = 72

Answer 2

Step-by-step explanation:

Let us take the third angle of the triangle as y and two other angles of the triangle as a and b, respectively.

Two angkes are equal. So, a=b=x

solution: sum of three angles= 180°

y= x+18

To satisfy the condition of the triangle

x+x+y= 180°

2x+x+18=180°

3x=162°

x=54

Therefore;

y=x+18

y=54+18

y=72

therefore, three angles if a triangle are 54°, 54°, and 72°