Question

solve for the value of a. answer attempt 1 out of 2 a =

Explanation:

Step1: Set up equation

The sum of the three - angle measures is 180° (since they form a straight - line angle). So, \((2a - 2)+90+(3a + 2)=180\).

Step2: Simplify the left - hand side

Combine like terms: \(2a-2 + 90+3a + 2=2a+3a+( - 2 + 2)+90=5a + 90\). So the equation becomes \(5a+90 = 180\).

Step3: Isolate the variable term

Subtract 90 from both sides of the equation: \(5a+90-90=180 - 90\), which simplifies to \(5a=90\).

Step4: Solve for a

Divide both sides of the equation by 5: \(\frac{5a}{5}=\frac{90}{5}\), so \(a = 18\).

Answer:

18