supernymonkey
supernymonkey supernymonkey
  • 04-05-2017
  • Mathematics
contestada

Given that QN is equal to QM. Find LQO.

A. 19°
B. 100°
C. 142°
D. 161°

Given that QN is equal to QM Find LQO A 19 B 100 C 142 D 161 class=

Respuesta :

daquinpickett16 daquinpickett16
  • 04-05-2017
c is the correct answer
Answer Link
Manetho
Manetho Manetho
  • 13-08-2019

Answer:

C

Step-by-step explanation:

From the given figure we can conclude that

triangle LKM and triangle PON  are congruent to each other

then by CPCTC we say that

∠LKM= ∠OPN= 75°

∠LMK=∠ONP= 180-(75+86)= 19°

and ∠KLM= ∠PON= 86°

now in triangle NMQ = ∠NQM= 180-(19+19)= 142°( sum of angles of a triangle)

therefore ∠LQO= ∠NQM= 142° (vertically opposite angles)

option C is Correct

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