Question

Given that QN is equal to QM. Find LQO.

A. 19°
B. 100°
C. 142°
D. 161°

Answer 1

c is the correct answer

Answer 2

C

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