Question

Examine the diagram.

Parallel lines a and b are crossed by transversal t to create 8 angles. Clockwise from top left, the angles are blank, 60.75 degrees, blank, blank; 2, 1, blank, blank.


What are the measures of angle 1 and angle 2?


The m Angle1 is degrees.

The m Angle2 is degrees

Answer 1

Answer: 60.75

119.25

Explanation:

Answer 2

`m\angle 1 =60.75^\circ \\m\angle 2 =119.25^\circ`

Explanation:

From the diagram:

`m\angle 1 =60.75^\circ $(Corresponding Angles)\\`

Now Angle 1 and Angle 2 are on a straight line, therefore:

`m\angle 1 +m\angle 2 =180^\circ $(Linear Postulate)\\Since m\angle 1=60.75^\circ\\60.75^\circ +m\angle 2 =180^\circ\\m\angle 2=180^\circ-60.75^\circ\\m\angle 2 =119.25^\circ`