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13 votes
13 votes
Two lines intersect. Find the value of b and c.

42°

Two lines intersect. Find the value of b and c. bº 42°-example-1
User ThinkBonobo
by
2.7k points

2 Answers

26 votes
26 votes

Answer:

b=42, c=138

Explanation:

B has to equal 42 because b is opposite of the 42º

and since 42+2c+42 has to equal 360, we simplify the expression to get:

84+2c=360,

2c=276

c=138

User David Min
by
2.7k points
7 votes
7 votes

Answer:

b=42 degrees

c= 138 degrees

Explanation:

B and the 42 degrees shown are congruent angles so therefore both are 42 degrees

To find C: We know that combining the 42 degrees and Angle C would form a flat angle or 180 degree angle, so therefore

subtract 180 with 42 to get Angle C

180-42= 138

User Davy Karlsson
by
3.1k points