Question

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Answer 1

∠13 = 70.5° [Vertically Opposite angles]

∠13+∠14=180° [Linear pair]

70.5°+∠14=180°

∠14=180-70.5

∠14=109.5

∠15=∠14=109.5 [Vertically opposite angles]

∠13=∠12= 70.5° [Co-interior angles]

∠12=∠10= 70.5° [Vertically Opposite angles]

∠14=∠11=109.5 [Co-interior angles]

∠9=∠11= 109.5 [Vertically opposite angles]

∠13=∠7= 70.5° [Alternate interior angles]

∠7=∠5=70.5° [Vertically Opposite angles]

∠7+∠8=180° [Linear Pair]

70.5+∠8=180

∠8=180-70.5

∠8=109.5°

∠8=∠6= 109.5° [Vertically Opposite angles]

∠6=∠3=109.5° [Co-interior angles]

∠7=∠2=70.5° [Co-exterior angles]

∠2=∠4= 70.5° [Vertically Opposite angles]

∠3=∠1= 109.5° [Vertically Opposite angles]

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Measures of all angles in sequence⤵️

• ∠1= 109.5°
• ∠2= 70.5°
• ∠3= 109.5°
• ∠4= 70.5°
• ∠5= 70.5°
• ∠6= 109.5°
• ∠7= 70.5°
• ∠8= 109.5°
• ∠9= 109.5°
• ∠10= 109.5°
• ∠11= 70.5°
• ∠12= 109.5°
• ∠13= 70.5°
• ∠14= 109.5°
• ∠15= 109.5°
• ∠16= 70.5°

Answer 2

Answer:

Angles 1, 3, 5, 7, 9, 11 and 13 = 70.5°

Angles 2, 4, 6, 8, 10, 12, 14 and 15 = 109.5°

Step-by-step explanation:

Angle Theorems used:

• Linear pair : a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary (two angles whose measures add up to 180°)
• Alternate interior angles : when two parallel lines are cut by a transversal (a line that intersects two or more other, often parallel, lines), the resulting alternate interior angles are congruent.
• Alternate exterior angles : when two parallel lines are cut by a transversal (a line that intersects two or more other, often parallel, lines), the resulting alternate exterior angles are congruent.
• Vertical angles : a pair of opposite angles formed by intersecting lines. Vertical angles are always congruent.

Angles 1, 3, 5, 7, 9, 11 and 13 = 70.5°

180 - 70.5 = 109.5°

Angles 2, 4, 6, 8, 10, 12, 14 and 15 = 109.5°