Question

find the value of a. (4a + 88)° (a + 61)°

Explanation:

Step1: Use vertical - angles property

Vertical angles are equal. So, $4a + 88=a + 61$.

Step2: Isolate variable $a$

Subtract $a$ from both sides: $4a - a+88=a - a + 61$, which simplifies to $3a+88 = 61$.

Step3: Further isolate $a$

Subtract 88 from both sides: $3a+88 - 88=61 - 88$, getting $3a=-27$.

Step4: Solve for $a$

Divide both sides by 3: $\frac{3a}{3}=\frac{-27}{3}$, so $a=-9$.

Answer:

$a=-9$