Question

Given: KM bisects JKL
Prove: m MKL= 1/2m JKL

please explain

Answer 1

Explanation:

Given :

KM bisects JKL

To Prove :

m∠MKL =
`(1)/(2)\angle \text{JKL}`

Statements Reasons

1). KM bisects ∠JKL 1). Given

2). m∠JKM = m∠MKL 2). Definition of congruent angles

3). m∠JKM + m∠MKL = m∠JKL 3). Angle addition postulate

4). m∠MKL + m∠MKL = m∠JKL 4). Substitution property of equality

5). 2m∠MKL = m∠JKL 5). Distributive property

6). m∠MKL =
`(1)/(2)\angle \text{JKL}` 6). Division property of equality