Be sure to label your angles correctly. Use the symbol for angle, ∠, when naming angles and when stating the measure of an angle, use m∠ABC = 25º.
Be sure to label your angles correctly. Use the symbol for angle, ∠, when naming angles and when stating the measure of an angle, use m∠ABC = 25º.
Describe angle pair relationships and calculate angle measures.
Complementary Angles: Two angles whose sum equals 90º.
Supplementary Angles: Two angles whose sum equals 180º.
Adjacent Angles: Two angles who share a side and a vertex.
Linear Pair: Adjacent angles that form a straight line, sum is 180º.
Vertical Angles: Congruent angles across from each other, formed by two intersecting lines.
Question 1
1.
∠1 is a complement of ∠2, and m∠2 = 36º. Find m∠1. Explain your answer or show your work.
Question 2
2.
∠3 is a supplement of ∠4, and m∠4 = 75º. Find m∠3. Explain your answer or show your work.
Question 3
3.
∠ABC and ∠CBD are complementary angles, m∠ABC = (3x+6)º and m∠CBD = (4x-14)º. Find the measure of ∠ABC. Show your work.
Question 4
4.
∠ABC and ∠CBD are complementary angles, m∠ABC = (3x+6)º and m∠CBD = (4x-14)º. You found x in the previous problem, now find the measure of ∠CBD. Show your work.
Question 5
5.
Identify a linear pair that includes ∠5.
Question 6
6.
Are ∠3 and ∠5 vertical angles? Explain.
Question 7
7.
Draw an example of vertical angles. Label the vertical angles 1 & 2.
Question 8
8.
Draw an example of a linear pair. Label the angles 3 & 4.
Question 9
9.
Draw an example of non adjacent angles. Label them 5 & 6.
Question 10
10.
Is this statement sometimes, always or never true? Explain.
The sum of the measures of a linear pair of angles is 90º.
Use the answers posted in Google Classroom to check your work so far.
Complete the following exit ticket questions.
Question 11
11.
List any two angle measures that are complementary.
Question 12
12.
Are ∠4 and ∠2 vertical angles? Explain.
Question 13
13.
∠A and ∠B are supplementary angles. What is the value of ∠A if ∠B is 72°?
Question 14
14.
∠WXY and ∠YXZ are supplementary angles, m∠WXY = (6x+59)º and m∠YXZ = (3x-14)º. Find the measure ∠WXY. Show your work.
Question 15
15.
∠WXY and ∠YXZ are supplementary angles, m∠WXY = (6x+59)º and m∠YXZ = (3x-14)º. You found x in the previous problem, now find the measure ∠YXZ. Show your work.
Question 16
16.
EXTENSION: Two angles form a linear pair. The measure of one angle is 24° more than the measure of the other angle. Write and solve an algebraic equation to find the measure of each angle.
Question 17
17.
EXTENSION: The measure of one angle is 15 less than half the measurement of its supplement. Write and solve an algebraic equation to find the measure of each angle.
Question 18
18.
Rate your understanding on using algebra to find measures of angles.
Question 19
19.
Rate your understanding on describing pairs of angles.