Question

Find the measure of all of the angles on the diagram​

Answer 1

Angle 1: 135*

Angle 2: 45*

Angle 3: 45*

Angle 4: 135*

Angle 5: 135*

Angle 6: 45*

Angle 7: 45*

Angle 8: 135*

Explanation:

So we have angle 2, 45*, we can subtract 45 from 180 to get the angle for 1. Since everything is the same size as either 1 or 2 we can just plug in the bigger angle number we have for it, ex 4= 135 and so is 7.

If you don't understand something please don't hesitate to ask.

Answer 2

Explanation:

∠2 = 45

∠3 = ∠2 {Vertically opposite angles}

∠3 = 45

∠7 = ∠3 {Corresponding angles}

∠7 = ∠45

∠6 = ∠7 {Vertically opposite angles}

∠6 = 45

∠1 + ∠2 = 180 {Linear pair}

∠1 + 45 = 180

∠1 = 180 -45

∠1 = 135

∠4 =∠1 {Vertically opposite angles}

∠4 = 135

∠8 = ∠4 {Corresponding angles}

∠8 = 145

∠5 = ∠4 {Alternate interior angles}

∠5 = 145