Answer:
x = 19
Indicated angles: 113°
Explanation:
We can tell that 6x - 1 is equal to 2x + 75 because they are vertically opposite angles. Now, let's solve.
- => 6x - 1 = 2x + 75
- => 6x - 2x = 1 + 75
- => 4x = 76
- => x = 19
Since we have found the required variable, we can now solve the indicated variables.
Given angles:
Let's solve 6(19) - 1 first.
- 6(19) - 1
- => 114 - 1
- => 113
Therefore, 6(19) - 1 measures about 108°. Now, let's solve 2(19) + 75
- 2(19) + 75
- => 38 + 75
- => 113
We can clearly see that both angles are equal (113 = 113) Because of vertically opposite angles.
Conclusion:
Therefore, the required variable is 'x = 19' and when we substitute the variable in both angles, we find that both angles show 113°.
Hoped this helped.
