Drag and drop an answer to each box to correctly complete the proof. Given: m | n m 1 = 50 m 2 = 48°, and line s bisects ABC

Prove: m/3

49°

It is given that m | n m

1 = 50 m

2

- 48° and fine s bisects

ABC By the

m/DEF = 989 Because

angles formed by two parallel lines and a transversal are congruent

DEF

A BC

SO MZABC 98 By the

angles 4 and 5 are congruent

and m

4 is half m

ABC So the measure of in24_49 Because vertical angles

Step-by-step explanation:

The correct question is shown in the image attached below.

Recall that: the line m is parallel to line n. In addition to that, and , and is bisected by line s.

At this moment, by the angle addition postulate, angle DEF i.e.

∠DEF

∠DEF = 50° + 48°

∠DEF = 98°

Similarly, using the rule of the alternate exterior angle ∠DEF = ∠ABC (∵ alternate exterior angles exhibit congruency).

Furthermore, By the definition of a bisector, angles 4 and 5 are congruent due to the fact that the line of a bisector splits the angle into two equal parts.

m∠4 = m∠5

∴

98/2 = 49°

Finally;

from the diagram, angle 3 and 4 are vertical angles

Thus, m∠3 = 49 by substitution property of equality ( because vertical angles are congruent angles).

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05