# Angles And Polygons: Question Preview (ID: 23720)

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**In triangle XYZ, if measure of X =72 and m of Y =74, what is the measure of Z?**

a) 180

b) 34

c) 214

d) 72

**The measures of the angles of triangle ABC are in the ratio 1:4:5. What are the measures of the angles?**

a) 18, 72, 90

b) 10,40,50

c) 20,80,100

d) 1, 4, 5

**If an exterior angle is 123 degrees, the two remote angles are 92 and x degrees. Find the value of x**

a) 145

b) 215

c) 31

d) 41

**What is the measure of a third angle of a triangle if one angle measures 25 and the second angle measures 50?**

a) 105

b) 155

c) 285

d) 75

**Find the measures of the angles in a triangle with the measurements: x, 120, x**

a) 60, 60, 120

b) 12, 120, 12

c) 30,80,30

d) 120, 30, 30

**Name the equation to find the sum of interior angles of a polygon**

a) (n - 2)180

b) (n-2)

c) (n - 2) 180/ n

d) ( n + 2) 180

**Find the sum of the interior angle measures of a 15-gon**

a) 15

b) 2700

c) 2340

d) 156

**What is the equation to find one interior angle of a polygon?**

a) ( n -2) 180

b) (n - 2)

c) ( n - 2) 180/ n

d) ( n + 2) 180

**Find the measure of one interior angle of a heptagon.**

a) 180

b) 128.6

c) 900

d) 360

**Find the measure of an exterior angle of an octagon.**

a) 45

b) 1080

c) 360

d) 90

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