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.
∠1 is a complement of ∠2, and m∠2 = 36º. Find m∠1. Explain your answer or show your work.
∠3 is a supplement of ∠4, and m∠4 = 75º. Find m∠3. Explain your answer or show your work.
∠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.
∠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.
Identify a linear pair that includes ∠5.
Are ∠3 and ∠5 vertical angles? Explain.
Draw an example of vertical angles. Label the vertical angles 1 & 2.
Draw an example of a linear pair. Label the angles 3 & 4.
Draw an example of non adjacent angles. Label them 5 & 6.
Is this statement sometimes, always or never true? Explain.
The sum of the measures of a linear pair of angles is 90º.
List any two angle measures that are complementary.
Are ∠4 and ∠2 vertical angles? Explain.
∠A and ∠B are supplementary angles. What is the value of ∠A if ∠B is 72°?
∠WXY and ∠YXZ are supplementary angles, m∠WXY = (6x+59)º and m∠YXZ = (3x-14)º. Find the measure ∠WXY. Show your work.
∠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.
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.
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.
Rate your understanding on using algebra to find measures of angles.
Rate your understanding on describing pairs of angles.
