Question

1. name the angle relationship shown in the diagram.

write an equation to solve for the missing angle measure.

solve the equation to find x

x =

Explanation:

Step1: Identify vertical angle

$\angle EAF = \angle BAC = 80^\circ$

Step2: Use straight angle sum

$x + 80^\circ + 60^\circ = 180^\circ$

Step3: Solve for $x$

$x = 180^\circ - 80^\circ - 60^\circ$

Answer:

Angle Relationship: Vertical angles and supplementary angles (straight angle sum)

Equation: $x + 80 + 60 = 180$

$x = 40$