Answer:
m∠MKL = 10°
Step-by-step explanation:
Given:
Two angles are given:
m∠JIM = 120°
m∠ILK = 50°
The given angles are angle of triangle ΔIJK.
We know that the sum of the all angles of the triangle is 180°
So, m∠JIK + m∠ILK + m∠JKL = 180°
m∠JIM + m∠ILK + m∠JKL = 180° (m∠JIK = m∠JIM)
Angle m∠JIM and angle m∠ILK is given, so we put the value of angles in above equation.
120° + 50° + m∠JKL = 180°
170° + m∠JKL = 180°
m∠JKL = 180° - 170°
m∠JKL = 10°
Since the longer diagonal bisects the interior angle of the kite therefore the m∠JKL = m∠MKL.
Therefore the m∠MKL = 10°.
