Two parallel lines are cut by a transversal and two of the same-side interior angles formed have measures of (4x + 3) degrees and (x+2) degrees. 1. How are the angles related?

2. What does x =

3. What are the two angle measures?

See answers below

Step-by-step explanation:

1. If two parallel lines cut by a transversal, then the two same-side interior angles  are equal

2.  (4x + 3 )+ (x + 2) = 180

       5x + 5 = 180

      5x = 175

        x = 35

3.    one angle = 4(35) +3 = 143°

      the other angle = 35 + 2 = 37°

4 packs of water and 7 packs of candy bars

step-by-step explanation:

35x4=140

140/20=7

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.