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37 votes
37 votes
Hat is the measure of x?
X = [?]
D
126

Hat is the measure of x? X = [?] D 126-example-1
User Cdyer
by
2.7k points

2 Answers

7 votes
7 votes

Answer:

since those are angles on a straight line.

we work out as follows

  • x+126°=180°
  • x+126°-126°=180°-126°
  • x=54°
User Borys Verebskyi
by
3.3k points
20 votes
20 votes

∠DBA and ∠DBC are making linear pair.

Linear pair of angles are formed when two lines intersect each other at a single point.

  • The sum of angles of a linear pair is always equal to 180°


\rm \large\longrightarrow \: \: x \: + \: 126 \degree \: = \: 180 \degree


\rm \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 126 \degree


\rm \large\longrightarrow \: \: x \: = \: 54 \degree

User Tyler Pfaff
by
2.5k points