Question

1. In the figure below, Line ET intersects with Line MN at B. The measure of Angle

Answer 1

Answer:

<NBE = 120°

Step-by-step explanation:

From the above attachment,

<KMB = 30°

<KBT = 90° (perpendicular angles are equal to 90°)

<MBE = x

<KMB + <KBT + <MBE = 180° (angles on a straight line are equal to 180°)

30° + 90° + <MBE = 180°

120° + <MBE = 180°

Solve for <MBE

<MBE = 180° - 120°

<MBE = 60°

<MBE = <TBN (vertical angles are congruent, making them equal to each other).

<TBN = 60°

<TBN + <NBE = 180° (angles on a straight line are equal to 180°)

60° + <NBE = 180°

<NBE = 180° - 60°

<NBE = 120°

Angle <NBE is equal to 120°