Question

1. find the value of x. find the value of ∠a=

Explanation:

Step1: Apply angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, \(5x+(2 + 3x)+130=180\).

Step2: Combine like - terms

\(5x+3x+2 + 130=180\), which simplifies to \(8x+132 = 180\).

Step3: Isolate the variable term

Subtract 132 from both sides: \(8x=180 - 132\), so \(8x=48\).

Step4: Solve for x

Divide both sides by 8: \(x=\frac{48}{8}=6\).

Step5: Find the measure of angle A

Angle A is \(5x\). Substitute \(x = 6\) into \(5x\), so \(\angle A=5\times6 = 30^{\circ}\).

Answer:

\(x = 6\)
\(\angle A=30^{\circ}\)