7.2 Angle Relationships in Quadrilaterals …...7.2 Angle Relationships in Quadrilaterals...
Transcript of 7.2 Angle Relationships in Quadrilaterals …...7.2 Angle Relationships in Quadrilaterals...
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 new.notebook March 19, 2017
7.2 Angle Relationships in Quadrilaterals.
Quadrilaterals are polygons with four sides. Some special ones are:
7.2 Angle Relationships in Quadrilaterals new.notebook March 19, 2017
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:
7.2 Angle Relationships in Quadrilaterals new.notebook March 19, 2017
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
7.2 Angle Relationships in Quadrilaterals new.notebook March 19, 2017
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,