Question

question 7 what is the acute angle measurement? (4x + 2)° (7x - 26)° 38 10

Explanation:

Step1: Set up equation using vertical - angle property

Vertical angles are equal. So, $4x + 2=7x - 25$.

Step2: Solve for x

Subtract $4x$ from both sides: $2 = 7x-4x - 25$, which simplifies to $2 = 3x-25$. Then add 25 to both sides: $2 + 25=3x$, so $27 = 3x$. Divide both sides by 3: $x=\frac{27}{3}=9$.

Step3: Find the angle measure

Substitute $x = 9$ into the expression for one of the angles, say $4x + 2$. Then $4\times9+2=36 + 2=38$.

Answer:

38