Question

What is the measure of ZMJK in the figure below?

M
2
7
320
7
K
O A. 58
B. 64
O C. 32
O D. 60
O
E. 15°
F. Cannot be determined
.

Answer 1

Angle MJK = 64°

Explanation:

In ∆MJL & ∆LJK,

JL= JL ...(common side)

Angle JML = Angle JKL ....( each 90°)

MJ = JK ....( Both measures 7)

Hence, by SAS criteria, ∆ MJL = ∆ LJk

.°. by C.P.C.T , ∠MJL = ∠LJK = 32°

Also,

∠MJK = ∠MJL+∠LJK

∠MJK = 32°+32°

∠MJK = 64°