Question

4520va v. geometry sem a geometry linear pairs and vertical angles what is the value of m? 70 150 30 10

Explanation:

Step1: Identify linear pair

Angles \((5m + 100)^\circ\) and \((2m + 10)^\circ\) form a linear pair, so their sum is \(180^\circ\).
\[
(5m + 100) + (2m + 10) = 180
\]

Step2: Simplify the equation

Combine like terms:
\[
7m + 110 = 180
\]

Step3: Solve for \(m\)

Subtract 110 from both sides:
\[
7m = 180 - 110 = 70
\]
Divide by 7:
\[
m = \frac{70}{7} = 10
\]

Answer:

10