Answer:
X=54
Step-by-step explanation:
There are multiple steps to find this problem:
So in a triangle, the opposite inverse angles are congruent,
meaning <LQM and <PLQ are congruent so <LQM is also 70 degrees
a triangle = 180 degrees, therefore, triangle QLM can be solved by adding
54 and 70 to find the measure of the 3rd angle
54+70= 124, then 180 (because its the total amount of the triangle) - 124= 56
Then, we know that <QLM and <PQL are congruent angles as they are opposite inverse angles.
So, <PQL also equals 56 degrees
Then to find the 3rd angle of the triangle PLQ you can add 56 and 70 to find the 3rd angle
56+70= 126, Then 180 - 126= 54
So, X=54
