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) y = 50° Also, ∠AED = ∠ACB (Corresponding angles) z = 40° We know that the sum of all the three angles of a triangle is equal to 180°. We can write as x + 50° + 40° = 180° (Angles of △ADE) x = 180° – 90° x = 90° Therefore, we can conclude that the required angles are 50°, 40° and 90°.

Answer»

In △ABC and △ADE we have:

∠ADE = ∠ABC (Corresponding angles)

y = 50°

Also, ∠AED = ∠ACB (Corresponding angles)

z = 40°

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

We can write as x + 50° + 40° = 180° (Angles of △ADE)

x = 180° – 90°

x = 90°

Therefore, we can conclude that the required angles are 50°, 40° and 90°.

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