Question

In the given figure lllm. Find the value of
x, y, z, and t​

Answer 1

Answer:

x = 55°

y = 45°

z = 80°

t = 80°

Step-by-step explanation:

By looking at the figure, we can make out that z = 80° (linear pair of angles)

t = 80° (because P||M and PR can be taken as a transversal...so t and angle MRP are adjacent interior angles)

If t = 80°, then y = 180 - (65 + 80) = 45° [because the three angles lie on the same straight line]

If z = 80°, y = 45°, so x = 180 - (80 + 45) = 55° [angle sum property of a triangle]

∴ x = 55°, y = 45°, z = 80° and t = 80°

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