Question

1. consider the following diagram: what is the value of ( m )? ( m = ) enter your next step here

Explanation:

Step1: Find the third - angle of the triangle

The sum of angles in a triangle is \(180^{\circ}\). Let the third - angle of the triangle be \(x\).
\(x+55^{\circ}+70^{\circ}=180^{\circ}\)
\(x = 180^{\circ}-(55^{\circ}+70^{\circ})\)
\(x=180^{\circ}-125^{\circ}\)
\(x = 55^{\circ}\)

Step2: Use the linear - pair relationship

Since \(m\) and \(x\) form a linear pair (\(m + x=180^{\circ}\))
\(m=180^{\circ}-x\)
Substitute \(x = 55^{\circ}\) into the equation
\(m=180^{\circ}-55^{\circ}\)

Answer:

\(125\)