For Exercises 24-27, find the measure of each angle. SEE EXAMPLE 4 16° 37° 24. 21 26. 23 116 48° 1 74° 2 122° 3 25. 22 27. 24
For Exercises 24-27, find the measure of each angle. SEE EXAMPLE 4 16° 37° 24. 21 26. 23 116 48° 1 74° 2 122° 3 25. 22 27. 24
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
I need help with number 25
Transcribed Image Text:sures of its two
rior angle of a triangle
re?
es
ion
to
PRACTICE & PROBLEM SOLVING
UNDERSTAND
Theorem 2-10.
10. Construct Arguments Write a proof for
(5x)
11. Higher Order Thinking Marisol claims that
each pair of remote interior angles in a triangle
has two exterior angles. Do you agree? Use a
diagram to support your answer.
12. Error Analysis A student was asked to find
the value of x. What error did the student
make?
74°
w° 56°
44°
X°
By the Linear Pairs Theorem,
w+56= 180, so w = 124.
By the Triangle Exterior Angle
Theorem, w = x + 31, or
124 = x + 31, so x = 93.
13. Reason Prove the Triangle Exterior Angle
Theorem.
14. Mathematical Connections What are the
values of x, y, and z? Use theorems to justify
each answer.
to
31°
66°
to
15. Use Structure Write and solve an equation
to find the value of x. What is the measure of
each labeled angle?
(3x)⁰
*
(2x)⁰
1
PRACTICE
What are the values of the variables in each
figure? SEE EXAMPLES 1-3
16.
18.
22.
46°
37°
46°
36° °
71°
41°
119
to
y°
116°
44°
98⁰
SavvasRealize.com
48°
to
What is the value of x in each figure? SEE EXAMPLE 4
20.
21.
46°
17.
1 74°
2
19. 39°
23.
56°
76°
tº
122°
3
42°
23°
71°
4
For Exercises 24-27, find the measure of each
angle. SEE EXAMPLE 4
16°
25. 22
xº
91°
27.24
yº
79%
74°
xº
24. 21
26. 23
28. A pennant is in the shape of an isosceles
triangle. One leg of the triangle is fastened to
a stick. The stick forms an 84° angle with the
other leg. What is the measure of each remote
interior angle in the triangle? SEE EXAMPLE 5
LESSON 2-3 Parallel Lines and Triangle Angle Sums 91
7,
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