In the figure above, KL//NM, LN bisects < KNM. If angles KLN...
In the figure above, KL//NM, LN bisects < KNM. If angles KLN is 54o and angle MKN is 35o, calculate the size of angle KMN.
A.
91o
B.
89o
C.
37o
D.
19o
Correct answer is C
In the diagram above, \(\alpha\) = 54o(alternate angles; KL||MN) < KNM = 2\(\alpha\) (LN is bisector of < KNM) = 108o
35o + < KMN + 108o = 180o(sum of angles of \(\bigtriangleup\))
< KMN + 143o = 180o
< KMN = 180o - 143o
= 37o
Similar Questions
In the diagram, < WOX = 60o, < YOE = 50o and < OXY = 30o. What is the bearing of x from y?...
Find the integral values of x and y satisfying the inequality 3y + 5x \(\leq\) 15, given that y >...
In the diagram, GI is a tangent to the circle at H. If EF||GI, calculate the size of ∠EHF ...