$$ E H G . m \angle E H G=68^{\circ} $$ and $$ m \angle F H G=9 x-2 $$. Find the value of $$ x $$.

Question

UpStudy AI · Accepted Answer

The value of $$ x $$ is $$ \frac{38}{3} $$ or approximately 12.67. To find the value of $$ x $$, we need to use the information given about the angles $$ \angle EHG $$ and $$ \angle FHG $$. We know that: - $$ m \angle EHG = 68^\circ $$ - $$ m \angle FHG = 9x - 2 $$ If $$ EHG $$ and $$ FHG $$ are angles that are supplementary (which is a common scenario in geometry), then we can set up the equation: $$ m \angle EHG + m \angle FHG = 180^\circ $$ Substituting the values we have: $$ 68^\circ + (9x - 2) = 180^\circ $$ Now, simplify the equation: $$ 68 + 9x - 2 = 180 $$ Combine like terms: $$ 66 + 9x = 180 $$ Next, isolate $$ 9x $$ by subtracting 66 from both sides: $$ 9x = 180 - 66 $$ $$ 9x = 114 $$ Now, divide both sides by 9 to solve for $$ x $$: $$ x = \frac{114}{9} $$ Simplifying $$ \frac{114}{9} $$: $$ x = 12.6667 \quad \text{or} \quad x = \frac{38}{3} $$ Thus, the value of $$ x $$ is: $$ \boxed{\frac{38}{3}} \quad \text{or approximately } 12.67 $$

\( E H G . m \angle E H G=68^{\circ} \) and \( m \angle F H G=9 x-2 \). Find the value of \( x \).

UpStudy ThothAI Solution

Step-by-step Solution

Quick Answer

\( E H G . m \angle E H G=68^{\circ} \) and \( m \angle F H G=9 x-2 \). Find the value of \( x \).

UpStudy ThothAI Solution

Step-by-step Solution

Quick Answer

Related Questions