Question

fill in the blank 1 point
3.
for the given trapezoid (with ( jk parallel ml ), ( jm = kl ), ( mangle k = 83^circ ))
( mangle j = )
( mangle l = )
( mangle m = )
( mangle j = ) type your answer...
( mangle l = ) type your answer...
( mangle m = ) type your answer...

Explanation:

Step1: Identify trapezoid properties

$JK \parallel ML$, $JM = KL$ (isosceles trapezoid). Base angles are supplementary, opposite base angles equal.

Step2: Calculate $m\angle L$

$\angle K$ and $\angle L$ are consecutive angles between parallel lines, so they are supplementary.
$m\angle L = 180^\circ - 83^\circ = 97^\circ$

Step3: Calculate $m\angle J$

In isosceles trapezoid, $\angle J = \angle K$.
$m\angle J = 83^\circ$

Step4: Calculate $m\angle M$

In isosceles trapezoid, $\angle M = \angle L$.
$m\angle M = 97^\circ$

Answer:

$m\angle J = 83^\circ$
$m\angle L = 97^\circ$
$m\angle M = 97^\circ$