230k views
23 votes
Give the missing angle​

Give the missing angle​-example-1
User DaveyJake
by
8.6k points

2 Answers

8 votes

Answer:

a = 60°

b = 115°

c = 65°

Explanation:

Alternate Interior Angles Theorem

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent (same).

Therefore, a = 60° and c = 65°

Angles on a straight line sum to 180°

⇒ b + 65° = 180°

Subtracting 65° from both sides:

⇒ b + 65° - 65° = 180° - 65°

⇒ b = 115°

User Faytraneozter
by
9.0k points
10 votes

Answer:

  • 60°, 115°, 65°

Explanation:

Angles a and 60°, also c and 65° are alternate interior angles and therefore are equal:

  • a = 60°
  • c = 65°

Angles b and 65° form a linear pair, so they sum to 180°

  • b + 65° = 180°
  • b = 180° - 65°
  • b = 115°
User Matzeri
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories