Question

question 5 (2 points)
find m∠ and the value of x. complete the reasoning:
m∠3 = ° is a supplementary angle with the given.
x =
(8x + 9)°
99°
blank 1:
blank 2: supplementary
blank 3:

Explanation:

Step1: Recall supplementary - angle property

Supplementary angles add up to $180^{\circ}$.

Step2: Find $m\angle3$

Since $m\angle3$ and the $99^{\circ}$ angle are supplementary, $m\angle3=180 - 99=81^{\circ}$.

Step3: Set up equation for $x$

We know that $8x + 9=m\angle3$. Substituting $m\angle3 = 81^{\circ}$, we get the equation $8x+9 = 81$.

Step4: Solve for $x$

Subtract 9 from both sides: $8x=81 - 9=72$. Then divide both sides by 8: $x=\frac{72}{8}=9$.

Answer:

Blank 1: $81$
Blank 2: supplementary
Blank 3: $9$