Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Pythagorean theorem wikipedia , lookup
Integer triangle wikipedia , lookup
History of trigonometry wikipedia , lookup
Multilateration wikipedia , lookup
Rational trigonometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
Perceived visual angle wikipedia , lookup
Geometry HS Mathematics Unit:01 Lesson:01 All about Angles KEY Angle Theorems Vertical angles are conqruent. lf two angles are supplementary to the same angle or to congruent angles, they are conqruent. lf two angles are complementary to the same angle or to congruent angles, they are conqruent. r . o Examples Use the figure to answer problems #10 11 below. - 10. lt m IAOC = 16x - 20 and m IBAD = 13x+7, find the value of x and the degree measure of the two angles. X = 9, m Z. AQC = m IBOD = 124 o 11- if mIAOB= 4x + 15 and mLAOC = 3x + 25, find the degree measures af IAOB and ZAOC. x = 20, mIAOB = 95 o and m lAOC = 85 o Solve the following problems using the given information. 12. lX and /.Y arecomplementary angles. lt m ZX= 3x + 7 and m value of x and the degree measure of each angle. x = 7, m /"X = 28 o, m /"Y = 62" lY = 6x+20, find the 13. The measure of the complement of an angle is one-fourth the measure of the supplement of the angle. Find the measure of the angle, The angle measures 60 o. x = angle 90-x=complement 180-x=supplement complemepl = (1 /4)supplement 90-x=(1t4)(180-x) 360-4x= 180-x 180 = 3x x=60 @2012, TESCCC page 4 of 6