GEOMETRY QUESTION

Question

If  and , find .

 =       degrees

Answer 1

<1 and <2 are vertical angles. vertical angles are equal, so

m<1 = m<2

substituting the given expressions:

3x + 20 = x + 70

2x = 50

x = 25

substituting 25 for x in the expression for m<1:

3x + 20 = 3(25) + 20 = 95