86.9k views
3 votes
Helpppppppp me please

Helpppppppp me please-example-1
User Ronszon
by
8.4k points

1 Answer

6 votes

Answer:

see explanation

Explanation:

∠ 1 and ∠ 5 are same- side exterior angles and sum to 180° , that is

∠ 1 + ∠ 5 = 180° , so

114° + ∠ 5 = 180° ( subtract 114° from both sides )

∠ 5 = 66°

------------------------------------------

∠ 1 and ∠ 2 are vertically opposite angles and are congruent ( equal ) , so

∠ 2 = ∠ 1 = 114°

-------------------------------------------

∠ 1 and ∠ 3 are corresponding angles and are congruent , so

∠ 3 = ∠ 1 = 114°

---------------------------------------------

∠ 3 and ∠ 4 are vertically opposite angles and are congruent , so

∠ 4 = ∠ 3 = 114°

----------------------------------------------

∠ 4 and ∠ 6 are a linear pair and sum to 180° , so

∠ 4 + ∠ 6 = 180° , then

114° + ∠ 6 = 180° ( subtract 114° from both sides )

∠ 6 = 66°

-----------------------------------------------

∠ 6 and ∠ 7 are alternate angles and are congruent , so

∠ 7 = ∠ 6 = 66°

--------------------------------------------

∠ 5 = 66° , ∠ 2 = 114° , ∠ 3 = 114° , ∠ 4 = 114° , ∠ 6 = 66° , ∠ 7 = 66°

User Tom Harvey
by
8.4k 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