Angle Pairs Unit Test

Question

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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

Vertical angles are equal, which means:

\[ m∠1 = m∠3 \]

Given: \[ m∠1 = (2x + 26)° \quad \text{and} \quad m∠3 = 14° \]

Set the two expressions equal to each other:

\[ 2x + 26 = 14 \]

Now, solve for \(x\):

1. Subtract 26 from both sides:

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

2. Divide both sides by 2:

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

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