Question

vertical/adjacent/complementary angles (algebraic)
score: 0/5 penalty: 0.25 off
question
solve for the value of a.
answer attempt 1 out of 2
a =

Explanation:

Step1: Identify angle relationship

The angles $(2a - 2)^{\circ}$ and $(3a+2)^{\circ}$ are complementary since they form a right - angle (sum is $90^{\circ}$). So, $(2a - 2)+(3a + 2)=90$.

Step2: Simplify the left - hand side

Combine like terms: $2a-2 + 3a+2=5a$. So the equation becomes $5a=90$.

Step3: Solve for $a$

Divide both sides of the equation $5a = 90$ by 5. We get $a=\frac{90}{5}=18$.

Answer:

$a = 18$