Question

current skill $
f
(x + 69)°
g
j
70°
h
what is the value of x?
what is the measure of ∠fjg?

Explanation:

Step1: Recognize straight angle sum

The angles at point J form a straight angle ($180^\circ$), so:
$$(x + 69) + 70 = 180$$

Step2: Simplify the equation

Combine constant terms:
$$x + 139 = 180$$

Step3: Solve for x

Subtract 139 from both sides:
$$x = 180 - 139$$
$$x = 41$$

Step4: Calculate $\angle FJG$

Substitute $x=41$ into $(x+69)$:
$$\angle FJG = 41 + 69$$
$$\angle FJG = 110$$

Answer:

1. The value of $x$ is $\boldsymbol{41}$
2. The measure of $\angle FJG$ is $\boldsymbol{110^\circ}$