Find x, y, z (whichever is required) from the figure.

1.	Find x, y, z (whichever is required) from the figure.
Answer» In △ABC and △ADE we have, ∠ ADE = ∠ ABC [corresponding angles] x = 40° ∠AED = ∠ACB (corresponding angles) y = 30° We know that the sum of all the three angles of a triangle is equal to 180° x + y + z = 180° (Angles of △ADE) Which means: 40° + 30° + z = 180° z = 180° – 70° z = 110° Therefore, we can conclude that the three angles of the given triangle are 40°, 30° and 110°

Answer»

In △ABC and △ADE we have,

∠ ADE = ∠ ABC [corresponding angles]

x = 40°

∠AED = ∠ACB (corresponding angles)

y = 30°

We know that the sum of all the three angles of a triangle is equal to 180°

x + y + z = 180° (Angles of △ADE)

Which means: 40° + 30° + z = 180°

z = 180° – 70°

z = 110°

Therefore, we can conclude that the three angles of the given triangle are 40°, 30° and 110°

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