Draw an angle and then draw the opposite ray to one of its sides, to form a linear pair. Find the measure of the angle formed by the angle bisector of the original angle and the opposite ray if the original angle measures 50°, 90°, and 150°. 1. If the angle equals 50°, then the measurement of the required angle is ? 2. If the angle equals 90°, then the measurement of the required angle is ? 3. If the angle equals 150°, then the measurement of the required angle is ?

(1)155 degrees

(2)135 degrees

(3)105 degrees

Step-by-step explanation:

Let the original angle

Angle Bisector of the original angle =

If the other angle forms a linear pair, then:

The other angle,

Therefore, the measure of the angle formed by the angle bisector of the original angle and the opposite ray is:

(1)If the angle equals 50°

Then the measurement of the required angle

(2)If the angle equals 90°

Then the measurement of the required angle

{3)If the angle equals 150°

Then the measurement of the required angle

See attachment for an example of the graphical solution.

d

step-by-step explanation: