35,229 views
28 votes
28 votes
Can someone please help me with this question

Can someone please help me with this question-example-1
User Aristona
by
2.6k points

2 Answers

14 votes
14 votes

Answer:

76° , 76° , 104°

Explanation:

(a)

∠ 2 and ∠ 3 are vertically opposite angles and are congruent , then

∠ 3 = 76°

(b)

∠ 6 and ∠ 3 are alternate angles and are congruent , then

∠ 6 = 76°

(c)

∠ 6 and ∠ 8 are adjacent angles on a straight line and sum to 180° , then

∠ 8 = 180° - 76° = 104°

User Graham Smith
by
2.4k points
24 votes
24 votes

A. Angle 3 is a vertical angle to angle 2 which means they are the same.

Angle 3 = 76 degrees

B. Angle 6 is also the same as angle 2.

Angle 6 = 76 degrees

C. Angle 8 + angle 6 form a straight line which equals 180 degrees

Angle 8 = 180 - 76 = 104 degrees

User Marius
by
2.7k points