Question

Choose three true statements about the angles of the figure

1: Z1 and the 55* angle are adjacent

2: mZ1=55* because Z1 and the 55* angle are vertical angles

3: mZ2=125* because Z2 and the 55* angle are supplementary

4: mZ2 cannot be determined from the information

5: mZ1=180*-55*

6: mZ2=180*-55*-45*

Answer 1

2,5,6

Explanation:

-Z1 and 55*are vertical angles

-Z1 and 55*are angles on a straight line=180*

this means 180*=55*+Z1

make Z1 subject of the formula- Z1=180*-55*

- mZ2,55*,45* are all angles in the given triangle

since the sum of angles in a triangLe =180*

therefore-180*=Z2+55*+45*

make Z2 the subject of the formulary

Z2=180*-55*-45*