Question

1. find the value of x. (8x - 23)° 34°

Explanation:

Step1: Identify the triangle type

The triangle is isosceles (two sides are equal), so the base - angles are equal. The sum of angles in a triangle is \(180^{\circ}\).

Step2: Set up the equation

\((8x - 23)+(8x - 23)+34 = 180\)
First, simplify the left - hand side:
\(16x-46 + 34=180\)
\(16x-12 = 180\)

Step3: Solve for \(x\)

Add \(12\) to both sides: \(16x=180 + 12\), so \(16x=192\)
Divide both sides by \(16\): \(x=\frac{192}{16}\)

Answer:

\(x = 12\)