Question

3. Find x and m_1
3x +8
6x - 22

Answer 1

The answer to your question is: x = 10; 1 = 142°

Explanation:

Find x and m∡ 1

We know that 6x - 22 = 3x + 8 Because they are vertical angles

6x - 3x = 22 + 8 Solve for x

3x = 30

x = 10

Then ∡ = 6(10) - 22

= 60 - 22

= 38°

1 = [360 - 2(38) ] / 2

= [360 - 76] / 2

= 284/2

= 142°