What is the measure of ∠x

see below

Step-by-step explanation:

If we look at ∠CBA and ∠BAE, we notice that they must be supplementary because they are same side interior angles, therefore:

41 + 102 + x = 180

143 + x = 180

x = 37°

x = 37°

Step-by-step explanation:

→ First, we need to remember 2 important angle facts

→ The first thing we want to do is find BCA because it's alternate to CAE or angle x, so let's set up an equation

BCA + 41° + 102° = 180°

→ Add the whole number together

BCA + 143° = 180°

→ Minus 143° from both sides to isolate BCA

BCA = 37°

→ Using the second angle fact, that alternate angles are equal, we can confirm that angle 'x' and angle BCA are alternate therefore equal

x = 37°

points are handed out whenever you post answers.

brainliest answers are handed out by the person asking the question, so whether your answer is picked depends entirely on whether the asker bothers to pick

if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.