There are two vertical angles in a figure with measures m∠1=(2x−16)°

Question

and m∠2=98°
. What equation will solve for x
?(2 points)
__x°−__°=__°

Answer 1

Vertical angles are equal, so you can set the measures of the two angles equal to each other to solve for \( x \).

Given the measures:

• \( m∠1 = (2x - 16)^\circ \)
• \( m∠2 = 98^\circ \)

Setting them equal to each other gives us the equation:

\[ 2x - 16 = 98 \]

You can rearrange this equation if needed, but in the format requested, we can express it as:

\[ (2x - 16)^\circ - 98^\circ = 0^\circ \]

So the completed parts are:

• __x°: \( 2x - 16 \)
• __°: \( 98 \)
• __°: \( 0 \)

Thus, the equation that will solve for \( x \) is: \[ (2x - 16)^\circ - 98^\circ = 0^\circ \]