Question

vertical/adjacent/complementary angles (algebraic)
score: 3/5 penalty: 0.25 off
question
solve for the value of v.
answer attempt 1 out of 2
v =

Explanation:

Step1: Identify angle - relationship

The $60^{\circ}$ angle and the $(x - 8)^{\circ}$ angle are complementary (since they form a right - angle, $90^{\circ}$).

Step2: Set up the equation

$60+(x - 8)=90$.

Step3: Simplify the left - hand side

$60+x - 8=90$, which simplifies to $x + 52=90$.

Step4: Solve for $x$

Subtract 52 from both sides: $x=90 - 52$. So, $x = 38$.

Answer:

$x = 38$