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33 votes
33 votes
11. What is the length of the missing side, x?

40 in.
51°
Your answer
74°
35 in.
74°
X
49 in.
55°

11. What is the length of the missing side, x? 40 in. 51° Your answer 74° 35 in. 74° X-example-1
User PravinS
by
3.2k points

1 Answer

12 votes
12 votes

Answer:

x = 40 in

Explanation:

the missing angle in the triangle on the left is

180° - (74 + 51)° = 180° - 125° = 55°

the missing angle in the triangle on the right is

180° - (74 + 55)° = 180° - 129° = 51°

the 2 triangles have 3 pairs of congruent angles and are therefore congruent.

Corresponding sides and angles are then congruent

consider the corresponding sides opposite 74° , that is x and 40 in , so

x = 40 in

User Shravan Dhar
by
2.4k points