Answer:
3. x = 7, y = 37
4. z = 1.6
Explanation:
Finding the value of x:
II with III
3x + 24 = 7x - 4
7x - 4 = 3x + 24
7x - 3x = 24 + 4
4x = 28
x = 28/4
x = 7
The measure of the angle is:
3x + 24 = 3*7 + 24 = 21 + 24 = 45
Final angle:
The sum of all the internal angles of a triangle is 180º. So
45 + 84 + w = 180
129 + w = 180
w = 51
Variable y:
We have that:
2x + y = 51
So
2*7 + y = 51
14 + y = 51
y = 51 - 14
y = 37
Exercise 4:
Looking at III with I
3z - 3 = 1.8
3z = 1.8 + 3
3z = 4.8
z = 4.8/3
z = 1.6 :