Question

parallelogram properties - angles
score: 0.75/5 penalty: 0.25 off
question
in parallelogram hjkl if ( mangle jkl = 40^{circ} ) find ( mangle hjk ).
answer
attempt 1 out of 2
( x = )

Explanation:

Step1: Use the property of adjacent angles in a parallelogram

In a parallelogram, adjacent angles are supplementary. So, $m\angle HJK + m\angle JKL=180^{\circ}$.

Step2: Substitute the given angle measure

We know that $m\angle JKL = 40^{\circ}$. Let $m\angle HJK=x$. Then $x + 40^{\circ}=180^{\circ}$.

Step3: Solve for \(x\)

Subtract $40^{\circ}$ from both sides of the equation: $x=180^{\circ}- 40^{\circ}$. So, $x = 140^{\circ}$.

Answer:

$140$