Answer:
4. w = 31
5. x = 50
Explanation:
To find the values of variable w and x in the given triangles above, recall that the sum of angles in a triangle = 180°.
Therefore,
==>w° + w° + (4w - 6)° = 180°
Solve for w
w + w + 4w - 6 = 180
6w - 6 = 180
Add 6 from both sides
6w = 180 + 6
6w = 186
Divide both sides by 6
w = 186/6
w = 31
==>Also, x° + x° + (x + 30)° = 180
x + x + x + 30 = 180
3x + 30 = 180
Subtract 30 from both sides
3x = 180 - 30
3x = 150
Divide both sides by 3
x = 150/3
x = 50