Download - 7.2 Angle Relationships in Quadrilaterals …...7.2 Angle Relationships in Quadrilaterals new.notebook March 19, 2017 Ex. 2 A parallelogram is inscribed in a quadrilateral as shown.

7.2 Angle Relationships in Quadrilaterals new.notebook March 19, 2017

7.2 Angle Relationships in Quadrilaterals

Learning Goals:You will know the sum of interior angles and of exterior angles in quadrilaterals, and use this understanding to solve problems.


7.2 Angle Relationships in Quadrilaterals.

Quadrilaterals are polygons with four sides. Some special ones are:


a

b c

d

w

xy

z

INTERIOR:a+b+c+d=3600

EXTERIOR:w+x+y+z=3600

The Sum of Interior and Exterior Angles in Quadrilaterals:


Ex. 1 Find the measure of the unknown angle in each quadrilateral.

a)

b)

A

B

C

560

950980

xD

IF G

HKL

E

J

50o88o

105o

y


Ex. 2 A parallelogram is inscribed in a quadrilateral as shown. Find the value of the unknown.

35o 40o

Some properties of angles in parallelgrams: • Adjacent angles are supplementary (sum of 180o)• Opposite angles are equal

Homework: pg 381 #1ac, 5, 6, 7, 9, 12, 13,