This document contains solutions to several geometry problems involving angle relationships. Various angle properties such as supplementary, complementary, and corresponding angles are used. For each problem, an equation is written and solved for the unknown angle measure. The solutions are then checked using a protractor. Two exit ticket problems are also included at the end involving using a given angle measurement to determine another angle based on a specified relationship between the angles.
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The power point explains the formation of an angle,different types of angles,complementary and supplementary angles and vertical angles with suitable examples.
Discusses trigonometric functions, graphing, and defining using the Unit Circle. Explains how to convert from radians to degrees, and vice versa. Describes how to calculate arc lengths in given circles.
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The power point explains the formation of an angle,different types of angles,complementary and supplementary angles and vertical angles with suitable examples.
1.5 Complementary and Supplementary Angles Dee Black
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4. In a complete sentence, describe
the relevant angle relationships in
the diagram. Write an equation for
the angle relationship shown in the
figure and solve for x. Confirm your
answers measuring the angle with a
protractor.
The angles xo and 22o are supplementary
and sum to 180o.
x + 22 =180
x + 22 - 22 =180 - 22
x =158
The measure of the angle is 158o.
9. (Supplementary angles)
16 + y = 90
16 = y – 16 = 90 – 16
y = 74
(Complementary angles)
x + (74) = 180
x + 74 – 74 = 180 – 74
x = 106
10. 1. Use the value of x
and a relevant angle
relationship to
determine the
measure of <EAF.
Exit Ticket
2. The measure of the supplement angle
is 39o more than half the angle. Find
the measurement of the angle and its
supplement.
11. 1.
The measure of <EAF =27o.
x +63- 90
x + 63- 63= 90 - 63
x = 27
2.
x +
1
2
x + 39
æ
è
ç
ö
ø
÷ =18
1.5x + 39 =180
1.5x + 39 - 39 =180 - 39
1.5x =141
1.5x ¸1.5 = 141¸1.5
x = 94
The measure of the
angle is 94o.
