Answer:
[tex]\displaystyle \boxed{20}° = ∠x[/tex]
Step-by-step explanation:
Since we have two parallel lines, therefore the measure of angle B is a right angle [90°]. Then you automatically would see that the measure of angle C is 70°, according to the Vertical Angles Theorem. Then you use the Triangular Interior Angles Theorem to find the [tex]\displaystyle m∠x:[/tex]
180° = 70° + 90° + m∠A
180° = 160° + m∠A
- 160° - 160°
______________
[tex]\displaystyle 20° = m∠A[/tex]
The m∠A is 20°, therefore the m∠x is also 20°, according to the Vertical Angles Theorem.
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