Question

Question

Angles m∠1
and m∠3
are vertical angles. If m∠1=(2x+26)°
and m∠3=14°
, what is the value of x
?(1 point)
x=

Answer 1

Since angles m∠1 and m∠3 are vertical angles, they are equal. Therefore, we can set the expressions for these angles equal to each other:

\[ 2x + 26 = 14 \]

Now, we'll solve for x:

1. Subtract 26 from both sides:

\[ 2x = 14 - 26 \] \[ 2x = -12 \]

2. Divide both sides by 2:

\[ x = \frac{-12}{2} \] \[ x = -6 \]

Thus, the value of \( x \) is \(-6\).