Question

Find ALL missing angles

PLS HELP!!!!!!!

Answer 1

From the figure,

• ∠1 = 140
• ∠6 = 40

We can conclude that -

∠1 and ∠2 are the corresponding Angles.

∠1 = ∠2

• ∠1 = 140
• ∠2 = 140

Also, ∠2 and ∠4 are vertical angles which are also equal

• ∠2 = ∠4
• ∠4 = 140°

∠ 3 and ∠4 are same side exterior angles.

[Sum of exterior angles = 180°]

• ∠3 + ∠4 = 180
• ∠3 + 140 = 180
• ∠3 = 180 - 140
• ∠3 = 40

∠3 and ∠8 are Alternate exterior angles

• ∠ 3 = ∠8
• ∠8 = 40

∠6 and ∠7 are Alternate interior angles

• ∠6 = ∠7
• ∠7 = 40°

∠1 and ∠5 are alternate angles

• ∠1 = ∠5
• ∠5 = 140

Points to remember :

When two parallel lines are cut by transversal, then :

• Corresponding angles are always equal.
• Same side interior or exterior angles are supplementary and adds upto 180°.
• Alternate exterior angles are always equal.
• Alternate interior angles are always equal.
• Vertical angles are equal.
• Supplementary angles add upto 180°.