Question

1. find the value of x. in the show work area, write the equation used to find the value of x. 55° (2x + 5)° (4x + 6)° type a response

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(55+(4x + 6)+(2x+5)=180\).
Simplify the left - hand side: \(55 + 4x+6+2x + 5=180\), which becomes \(6x+66 = 180\).

Step2: Solve the equation for \(x\)

Subtract \(66\) from both sides: \(6x=180 - 66\), so \(6x=114\).
Divide both sides by \(6\): \(x=\frac{114}{6}\).

Answer:

\(x = 19\)