Question

write your answer as an integer or as a decimal rounded to the nearest tenth.
a = □°

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, \((2a - 4)+(a + 68)+(a + 27)=180\).

Step2: Combine like - terms

Combine the \(a\) terms and the constant terms: \((2a+a + a)+(-4 + 68+27)=180\), which simplifies to \(4a+91 = 180\).

Step3: Isolate the variable \(a\)

Subtract 91 from both sides of the equation: \(4a=180 - 91\), so \(4a = 89\).

Step4: Solve for \(a\)

Divide both sides by 4: \(a=\frac{89}{4}=22.25\approx22.3\).

Answer:

\(22.3\)