In the diagram, PQR is a straight line, (m + n) = 120o and (n + r) = 100o. Find (m + r)

In the diagram, PQR is a straight line, (m + n) = 120^o and (n + r) = 100^o. Find (m + r)

Answer Details

Let's start by using the fact that PQR is a straight line, which means that m + n + r = 180°. We can then use the given information to form two equations and solve for m + r. From (m + n) = 120°, we can substitute n = 120° - m to get: (m + 120° - m + r) = 180° r + 120° = 180° r = 60° From (n + r) = 100°, we can substitute n = 120° - m and r = 60° to get: (120° - m + 60°) = 100° m = 80° Finally, we can find m + r by adding m and r: m + r = 80° + 60° = 140° Therefore, the answer is 140°.