Question

I don't understand this...

Answer 1

The measurement of angles are :

• Angle 1 is 123°
• Angle 2 is 57°
• Angle 4 is 123°
• Angle 5 is 123°
• Angle 6 is 57°
• Angle 7 is 57°
• Angle 8 is 123°

Given,

The figure with parallel lines.

Angle 3 is given as 57°

We have to find the other angles.

• The measure of angle 1;

∠1 + ∠3 = 180° ; Sum of transversal angles is 180°

So,

∠1 = 180 - 57 = 123°

• The measure of angle 2;

∠2 = ∠3 ; Vertical angles are ≅

So, ∠2 = 57°

• The measure of angle 4;

∠1 = ∠4 ; Vertical angles are ≅

So, ∠4 = 123°

• The measure of angle 5;

∠1 = ∠5 ; Corresponding angles are ≅

So, ∠5 = 123°

• The measure of angle 6;

∠2 = ∠6 ; Corresponding angles are ≅

So, ∠6 = 57°

• The measure of angle 7;

∠6 = ∠7 ; Vertical angles are ≅

So, ∠7 = 57°

• The measure of angle 8;

∠5 = ∠8 ; Vertical angles are ≅

So, ∠8 = 123°

Learn more about angles here;

brainly.com/question/21867627

#SPJ1