Create a system of equations
x + y = 123
5x + y = 343
I use substitution
y = 123 - x
5x + 123 - x = 343
4x + 123 = 343
4x = 220
x = 55
Plug in
x + y = 123
55 + y = 123
y = 68
Check
5x + y = 343
5(55) + 68 = 343
275 + 68 = 343
343 = 343
The answer is -11 and -13
Answer
In the figure, angles C and D are a
✔ linear pair
Therefore, angle C must measure
✔ 56°
Step-by-step explanation:
Answer:
x = 34°
Step-by-step explanation:
To solve for 'x', we will need to use the Supplementary Angles theorem. This states that on a line, all angles must add up to 180°.
We can set up a simple algebraic equation to solve for 'x':
180 = x + 12 + 100 + x
180 = 112 + 2x **Combine like terms
68 = 2x **Divide both sides by '2'
x = 34°.
Therefore, the measure of ∠x = 34°.
