Page 46 - Math Course 2 (Book 2)

Quadrilaterals

Angles of a
m∠Q + m∠R + m∠S + m∠T = 360
quadrilateral Find the value of x. Then find each missing angle
measure.
75 + 4x + 110 + x = 360 Substitution
A. x = 4; m∠A = 4° and m∠C = 16°
Combine like B. x = 5; m∠A = 5° and m∠C = 20°
5x + 185 = 360
terms. C. x = 40; m∠A = 40° and m∠C = 160°
Subtract 185 from D. x = 104; m∠A = 104° and m∠C = 416°
5x + 185 – 185 = 360 – 185
each side.
5x = 175 Simplify.

Divide each side
x = 35
by 5.

So, m∠T = 35° and
Answer Answer
m∠R = 4(35) or 140°.

Classify Quadrilaterals
Classify Quadrilaterals
QUILT PATTERN
Example The photograph shows a pattern for the border
of a quilt. Classify the quadrilaterals used to form
the leaves using the name that best describes
Classify each quadrilateral using the name that best them.
describes it.
A. square
A. Answer B. rectangle
C. rhombus and rectangle
Trapezoid D. parallelogram and square

B.
Answer

parallelogram

Your Turn! Answer

Find Angle Measures

Find the value of x. Then find each missing angle measure.

A. x = 4; m∠A = 4° and m∠C = 16° B C
B. x = 5; m∠A = 5° and m∠C = 20°
C. x = 40; m∠A = 40° and m∠C = 160° 120° 4x°
D. x = 104; m∠A = 104° and m∠C = 416°
x° 40°
A D

Answer

38