m∠5=112° and m∠8=(2x+8)°. What equation will solve for x?

___x°+___°=___°

1 answer

To solve for \( x \) given that \( m∠5 = 112° \) and \( m∠8 = (2x + 8)° \), we need to determine the relationship between these angles. Assuming that angles 5 and 8 are supplementary (their measures add to 180°), we can write the equation as follows:

\[ m∠5 + m∠8 = 180° \]

Substituting the given values, we have:

\[ 112° + (2x + 8)° = 180° \]

Now, to simplify this equation, you can combine the constant terms:

\[ 112 + 8 + 2x = 180 \]

This simplifies to:

\[ 120 + 2x = 180 \]

Hence, the equation that will solve for \( x \) is:

\[ 2x + 120° = 180° \]

So, in the form \( ___x° + ___° = ___° \), it would be:

\[ 2x° + 120° = 180° \]