4.1.2 Angle Relationships in Triangles - Worksheet
Example 1: Use the following information for Exercises 1 and 2. An asterism is a group of stars that is easier to recognize than a constellation. One popular asterism is the Summer Triangle, which is composed of the stars Deneb, Altair, and Vega. 1. What is the value of y ?
(3 y + 13)° Deneb
Vega
(5 y – 5)°
2. What is the measure of each angle in the Summer Triangle?
Altair
(2 y + 2)°
Example 2: The measure of one of the acute angles in a right triangle is given. What is the measure of the other acute angle? 3. 20.8 ° 4. y ° 5. 24
2 3
Example 3: Find each angle measure. 6. m ∠ M
7. m ∠ L
N
H
J
K
7 x °
(2 y + 2)°
(3 y + 1)°
48°
(6 x – 1)°
M
P
Q
L
8. In △ ABC , m ∠ A = 65 ° , and the measure of an exterior angle at C is 117 ° . Find m ∠ B and the m ∠ BCA .
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