Question

2 find the value of x. show your work. (x - 50)° x° solution ©curriculum associates, llc copying is not permitted. lesson 6 desc school personnel only. this resource expires on 6/30/2026.

Explanation:

Step1: Identify angle relationship

The two angles \((x - 50)^\circ\) and \(x^\circ\) are supplementary (they form a linear pair), so their sum is \(180^\circ\).

$$ (x - 50) + x = 180 $$

Step2: Solve for \(x\)

Combine like terms:

$$ 2x - 50 = 180 $$

Add \(50\) to both sides:

$$ 2x = 180 + 50 \\ 2x = 230 $$

Divide by \(2\):

$$ x = \frac{230}{2} \\ x = 115 $$

Answer:

\(115\)