Question

Lesson 5: Lines and Triangles Geometry A Unit 4: Parallel and Perpendicular Lines

Answer 1

Answer:

the value of the angle k is 73° .

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

Triangles have many important properties that are extremely helpful. One of the most important properties about all triangles is that the sum of all three interior angles sums up to be 180°. This being the case we can sum up the angles already given to us and subtract it from 180° in order to find the missing angle (k).

$62+45 = 107$

$180-107 = 73$

Finally, we can see that the value of the angle k is 73° .

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Answer 2

The Triangle Sum Theorem states that the sum of the angles of a triangle equal 180°. 
Therefore,
45° + 62° + k = 180
   107°      + k = 180
                   k  = 73°
The value of k is 73°