Question

Help me, please!

In figure 2 below, c ʇ d, if m∠3 = 90, what is the measurement in each of other angles?

If two angles form a linear pair, then
they are?​

Answer 1

All the angles form 90°.

Linear pairs = ∠1 + ∠2, ∠1 + ∠4, ∠2 + ∠3, ∠3 + ∠4

Explanation:

If, ∠3 = 90°, then,

∠1 = 90° (vertically opposite angles)

∠2 = 90° (linear pair, 180° - 90° [∠3] = 90°)

∠4 = 90° (linear pair, 180° - 90° [∠3] = 90°)

Linear pairs form 180°. So,

∠1 + ∠2, ∠1 + ∠4, ∠2 + ∠3, ∠3 + ∠4 are linear pairs.

Hope it helps ⚜

Answer 2

∠3= ∠1= 90° [Vertically Opposite angles]

∠3+∠2=180° [Linear pair]

90+∠2=180°

∠2 = 180-90

∠2= 90°

∠2=∠4= 90° [Vertically Opposite angles]

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Measures of all angles in order⤵️

• ∠1= 90°
• ∠2= 90°
• ∠3= 90°
• ∠4= 90°