Question

lmno is a parallelogram, with ∠m=(11x)° and ∠n=(6x - 7)°. which statements are true about parallelogram lmno? select three options. x = 11 m∠l = 22° m∠m = 111° m∠n = 59° m∠o = 121°

Explanation:

Step1: Consecutive angles sum to 180°

$11x + (6x - 7) = 180$

Step2: Solve for x

$17x = 187 \implies x = 11$

Step3: Calculate ∠M

$∠M = 11x = 11×11 = 121^\circ$

Step4: Calculate ∠N

$∠N = 6x - 7 = 6×11 - 7 = 59^\circ$

Step5: Opposite angles equal

$∠L = ∠N = 59^\circ$, $∠O = ∠M = 121^\circ$

Answer:

A. x = 11, D. m∠N = 59°, E. m∠O = 121°