Question

lines LM and PN intersect at point O. POM = 110° degree find the remaining angles.​

Answer 1

Answer:

✨Heya mate!!✨

Step-by-step explanation:

∆C+∆D=180° (sum of co-interior angle=180°)

∆D=180-110=70°

∆B=∆D (opposite angles of ll gm)

∆B=70°

∆A= 110° ∆B=70° ∆D=70°

Answer 2

Please see the attached picture ; )

remember: Vertical angles are EQUAL!!!!!

Vertical angles are angles that are opposite to each other.

∠POM = 110°

∠POM and ∠LON are VERTICAL ANGLES, so they are equal.

⇒ ∠LON = 110°

To find ∠POL and ∠MON we add the two KNOWN angles and subtract them to 360(the equal of all angles/circle)

= 360 - (∠POM + ∠LON)

= 360 - (110 + 110)

= 360 - 220

= 140°

so the total angle of two unknown angles is 140°.

∠POL and ∠MON are VERTICAL ANGLES!, so they are congruent or the same.

140 / 2 = 70°

Answer:

∠POM = 110°

∠LON = 110°

∠POL = 70°

∠MON = 70°

HOPE IT HELPS ;)