Question

guided practice now, review the following steps. then, use the steps to solve a problem on your own. 1. using the definition of supplementary angles, you know that the sum of the angles measure is equal to 180°. 2. combine like terms. 3. solve for x. (diagram with (5x+10)° and (2x-12)°) find the value of x a. 140 b. 26 c. 40 d. 7

Explanation:

Step1: Set up the equation

Since the two angles are supplementary, their sum is \(180^\circ\). So we have the equation \((5x + 10)+(2x - 12)=180\).

Step2: Combine like terms

Combine the \(x\) terms and the constant terms: \(5x+2x + 10-12 = 180\), which simplifies to \(7x-2 = 180\).

Step3: Solve for \(x\)

Add 2 to both sides: \(7x-2 + 2=180 + 2\), so \(7x=182\). Then divide both sides by 7: \(x=\frac{182}{7}=26\).

Answer:

26