Question

In ΔXYZ, ∠X = 100°, ∠Y = 45°.

Options

• XY > YZ > ZX

• YZ > XZ > XY

• XY > YZ > XZ

• YZ > XY > XZ

Answer 1

YZ > XZ > XY

Explanation:

In a triangle, larger angles are opposite longer sides.

Given:

∠X = 100°

∠Y = 45°

To find ∠Z:

∠Z = 180° – (100° + 45°) = 35°

Now compare angles and their opposite sides:

∠X = 100° → opposite side YZ (longest)

∠Y = 45° → opposite side XZ (medium)

∠Z = 35° → opposite side XY (shortest)

So, side lengths in decreasing order:

YZ > XZ > XY