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Luda [366]
1 year ago
6

What is the value of x + y? How do you know? Show or explain work

Mathematics
1 answer:
enot [183]1 year ago
6 0

The angle (2y - 5)° and 95° are vertical angles, then they are congruent, that is,

2y-5=95

Solving for y:

\begin{gathered} 2y-5+5=95+5 \\ 2y=100 \\ \frac{2y}{2}=\frac{100}{2} \\ y=50 \end{gathered}

The angle (3x + 55)° and 85° are vertical angles, then they are congruent, that is,

3x+55=85

Solving for x:

\begin{gathered} 3x+55-55=85-55 \\ 3x=30 \\ \frac{3x}{3}=\frac{30}{3} \\ x=10 \end{gathered}

Finally, the value of x + y is:

x+y=10+50=60

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