Question

Need help can someone show me how to do this. Thanks

Answer 1

Explanation:

`\angle2\ and\ \angle4\ \text{are alternate interior angles}\\\\\angle3\ and\ \angle5\ \text{are alternate interior angles}\\\\\overline{BP}\ ||\ \overline{AC}\Rightarrow\angle2\cong\angle4\ and\ \angle3\cong\angle5\\\\\text{Therefore}\ m\angle2=m\angle4\ and\ m\angle3=m\angle5\ (*)\\\\m\angle4+m\angle1+m\angle5=180^o\qquad\text{(The angles on a straight line add up to 180}^o)\\\\\text{From}\ (*)\ \text{We have:}\\\\m\angle2+m\angle1+m\angle3=180^o\Rightarrow m\angle1+m\angle2+m\angle3=180^o`