Answer:
x = 37°
Step-by-step explanation:
→ First, we need to remember 2 important angle facts
- Angles in a triangle add up to 180°
- Alternate angles are equal
→ 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°
