188k views
12 votes
Vertical Angles: Find the Supplementary Angles (photo provided)

Vertical Angles: Find the Supplementary Angles (photo provided)-example-1
User Yaquelin
by
3.6k points

1 Answer

3 votes

Answer:

105°

Explanation:

The given angles are vertical and congruent , then

8x - 21 = 6x + 3 ( subtract 6x from both sides )

2x - 21 = 3 ( add 21 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Then

6x + 3 = 6(12) + 3 = 72 + 3 = 75°

Supplementary angles sum to 180° , thus

supplementary angle = 180° - 75° = 105°

User Seramme
by
3.4k points