Find the sum of the measures of the interior angles in each polygon.

12-gon

degrees

36-gon

degrees

87-gon

degrees

Find the value of x and y.

x=

y=

The example is a regular polygon. Find the value of x.

x=

y=

Find the value of x.

Find the value of x.

Find the value of x.

Given JM= 27, ML= 16, JL= 46, NK= 15, m∠KLM= 48, m∠JKM= 78, and m∠MJL= 22, find each missing value.

KL=

JK=

MK=

NL=

m∠JKL=

m∠KJM=

m∠MJL=

m∠KJL=

If PQRS is a parallelogram, find the length of QR

x=

y=

∠P=

∠S=

QR=

PQRS is a rectangle, ST= 12, and m∠PRS= 23, find each measure.

SQ=

PR=

m∠PSR=

m∠SQR=

m∠QPR=

m∠PTQ=

JKLMis a rhombus, MK= 30, NL= 13, and m∠MKL= 41, find each measure.

NK=

JL=

KL=

m∠JKM=

m∠JML=

m∠MLK=

m∠MNL=

m∠KJL=

If STUV is a rhombus, find m∠SVU.

x=

m∠SVU=

WXYZ is a square with WZ= 27, find each measure.

ZY=

WY=

RX=

m∠WRZ=

m∠XYZ=

m∠ZWY=

PQRS is a Trapezoid. Find each measure.

m∠Q=

m∠S =

PQRS is a Trapezoid. Find each measure.

m∠E=

m∠F=

m∠G=

GHIJ is a trapezoid. Solve for x

x=

∠G=

∠H=

TRAP is a trapezoid. Solve for x

x=

TR=

AP=

TRAP is a trapezoid. Solve for x

x=

MD=

TR=

If △ABC is an equilateral triangle, solve for both x and y.

x=

y=

Find each missing angle measures.

x=

m∠A= °

Find each missing angle measures.

x=

m∠A= °

Find each missing angle measures.

x=

m∠A= °

Find each missing angle measures.

x=

m∠A= °

Find each missing angle measures.

x=

m∠1= °

m∠2= °

m∠3= °

m∠4= °

m∠5= °

Given two sides of a triangle, you can set up an inequality using the sum and difference to show the range of possible lengths for the third side:

13 and 21

a) Set up difference and sum that shows the possible range of side lengths for the third side

- <third side (x) < +

b) Write the inequality the shows the range of lengths that could be a third side this triangle:

< x <

Given two sides of a triangle, you can set up an inequality using the sum and difference to show the range of possible lengths for the third side:

41 and 36

a) Set up difference and sum that shows the possible range of side lengths for the third side

- <third side (x)< +

b) Write the inequality the shows the range of lengths that could be a third side this triangle:

< x <