Question

The angles of a triangle measure: 3z, 4z + 18 and 2z.
Find the value of z​

Answer 1

Answer:

the value of z is 18

Step-by-step explanation:

The sum of all the angles of a triangle = 180°

Given,

Angles of a triangle = 3z, 4z+18, 2z

Here the sum of these angles must be 180°

So,

3z+4z+18+2z = 180°(Transposing 18 to right side making it's sign '-')

= 9z = 180-18

=9z = 162(Transposing 9 to the right side making it's sign '÷')

z = 162/9 = 18

Thus, the value of 'z' is 18.

To find out the angles, just substitute 18 instead of 'z'.

That is : 3*18 = 54°

4*18+18 = 72+18 = 90°

2z = 2*18 = 36°

So, the three angles are 54°, 90° and 36°