Question

I rlly need help; finding angles

Answer 1

1=35 find angle 2 80+65-180=35

2= 65 vertical angles are congruent ex 115-180

3=29 ex. 90+65-180=29

4= 115 vertical angle congruent

5=65 vertical angles are congruent ex 115-180

6=65 35+80-180=65

7=144

Answer 2

∠1 = 35 ; ∠2 = 65 ; ∠3 = 29 ; ∠4 = 115

∠5 = 65 ; ∠6 = 36 ; ∠7 = 144

Explanation:

∠4 = 115 {Vertically opposite angles}

∠5 + 115 = 180 {linear pair}

∠5 = 180 - 115

∠5 = 65

∠2 = ∠5 {Vertically opposite angles}

∠2 = 65

∠1 + 80 +∠2 = 180 {Angle sum property of triangle}

∠1 + 80 + 65=180

∠1 + 145 = 180

∠1 = 180 - 145

∠1 = 35

∠5 + ∠7 + 90 + 61 = 360 {angle sum property of quadrilateral}

65 + ∠ 7 + 90 + 61 = 360

∠7 + 216 = 360

∠7 = 360 - 216

∠7 = 144

∠6 + ∠ 7 = 180 {linear pair}

∠6 + 144 = 180

∠6 = 180 - 144

∠6 = 36

∠3 + ∠4 +∠ 6 = 180 {angle sum property of triangle}

∠3 + 115 + 36 = 180

∠3 + 151 = 180

∠3 = 180 - 151

∠3 = 29