Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

parallelogram properties - angles score: 2.5/5 penalty: 0.25 off questi…

Question

parallelogram properties - angles
score: 2.5/5 penalty: 0.25 off
question
in parallelogram jklm if ( mangle jkl = 120^{circ} ) find ( mangle klm ).
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. That is, $m\angle{JKL}+m\angle{KLM} = 180^{\circ}$.

Step2: Substitute the given value

We know that $m\angle{JKL}=120^{\circ}$. Let $m\angle{KLM}=x$. Then $120 + x=180$.

Step3: Solve for $x$

Subtract $120$ from both sides of the equation: $x=180 - 120$. So, $x = 60$.

Answer:

$60$