Efgh is a parallelogram. find the measure of fg.

Based on the property of a parallelogram, the measure of FG is: 47.

Based on the properties of a parallelogram, the opposite sides of a parallelogram are equal in length.

Therefore:

EH = FG

5z - 18 = 3z + 8

5z - 3z = 18 + 8

2z = 26

z = 13

FG = 3z + 8

FG = 3(13) + 8

FG = 47

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FG = 47

Step-by-step explanation:

The opposite sides of a parallelogram are parallel and congruent, thus

EH = FG, that is

5z - 18 = 3z + 8 ( subtract 3z from both sides )

2z - 18 = 8 ( add 18 to both sides )

2z = 26 ( divide both sides by 2 )

z = 13

Hence

FG = 3z + 8 = (3 × 13) + 8 = 39 + 8 = 47

1/4 because there is 4 grades.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.