Answer: m∠JPN = 98°
Explanation:
The given angles are vertical angles, which means they'll be congruent. We can create an equation to solve for x using this information.
Given:
105 - x = 2x + 84
Add x to both sides of the equation:
105 = 3x + 84
Subtract 84 from both sides of the equation:
21 = 3x
Divide both sides of the equation by 3:
7 = x
Next, we can substitute this value of x back into the expression representing ∠JPN.
Given:
2x + 84
Substitute:
2(7) + 84
Multiply:
14 + 84
Add:
98