In the diagram, PQR is a straight line, (m + n) = 120o and (n + r) = 100o. Find (m + r)
Question 1 Report
In the diagram, PQR is a straight line, (m + n) = 120o and (n + r) = 100o. 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°.
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