# Question #0de9f

##### 1 Answer

Starting with the known angles and parallel lines, use geometric properties to work through all the unknowns.

#### Explanation:

I won’t provide the *entire* solution, but rather the process that you can use to complete the exercise.

Given the parallel lines and the angle at E, the angle at K must be the same (

This leads to angle 12 being (180 – 69 – 90) =

From that, angle 8 must be 21 + 90 =

EFG is an isosceles triangle, so angle 7 is also

Further, the angle at M is (180 – 90 – 21) =

Angle 9 is

So far: Angle 3:

Continue on, using the angles you calculate with the properties of the parallel lines and triangles to calculate the remaining angles 5, 6 and 11