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Click the mouse button or press the Space Bar to display the answers. Objective Identify and apply angle relationships Vocabulary Vertical angles Opposite angles formed by the intersection of two lines 1 Vocabulary Congruent angles Angles that have the same measure Vocabulary Supplementary angles Two angles that have the sum of their measures as 1800 Vocabulary Complementary angles Two angles are complementary if the sum of their measures is 900 Math Symbols Is congruent to Example 1 Classify Angles Example 2 Classify Angles Example 3 Find a Missing Angle Measure Example 4 Use Angles to Solve A Problem Classify the pair of angles as complementary, supplementary, or neither 1280 + 520 1800 Answer:. Supplementary Add the two angle measurements together Meets the definition of supplementary angles 1/4 Classify the pair of angles as complementary, supplementary, or neither Answer: complementary 1/4 Classify the pair of angles as complementary, supplementary, or neither Right angle = 900 Answer: Complementary x and y form a right angle Meets the definition of complementary angles 2/4 Classify the pair of angles as complementary, supplementary, or neither Answer: supplementary 2/4 Angles PQS and RQS are supplementary. If mPQS 56, find mRQS. mPQS + mRQS = 1800 560 mPQS is 560 PQS and RQS are supplementary Remember: Supplementary angles = 1800 3/4 Angles PQS and RQS are supplementary. If mPQS 56, find mRQS. mPQS + mRQS = 1800 560 + mRQS = 1800 560 Replace mPQS with 560 Bring down + mRQS = 1800 Solve for the unknown mRQS 3/4 Angles PQS and RQS are supplementary. If mPQS 56, find mRQS. mPQS + mRQS = 1800 560 + mRQS = 1800 560 - 560 Ask “what is being done to the variable?” The variable (mRQS) is being added by 560 Do the inverse on both sides of the equal sign Bring down 560 Subtract 560 3/4 Angles PQS and RQS are supplementary. If mPQS 56, find mRQS. mPQS + mRQS = 1800 560 + mRQS = 1800 Bring down + mRQS = 1800 Subtract 560 560 - 560 + mRQS = 1800 - 560 00 + mRQS = 1240 Combine “like” terms Bring down + mRQS = Combine “like” terms 3/4 Angles PQS and RQS are supplementary. If mPQS 56, find mRQS. mPQS + mRQS = 1800 560 + mRQS = 1800 Use the Identify Property to add 00 + mRQS 560 - 560 + mRQS = 1800 - 560 00 + mRQS = 1240 Bring down 1240 Answer: mRQS = 1240 3/4 Angles MNP and KNP are complementary. If mMNP 23, find mKNP. Answer: m KNP = 67 3/4 GEOMETRY The rectangle shown is divided by a diagonal. Find the value of x. x0 + 700 = 900 The angle that x0 and 700 make is a right angle A right angle = 900 Write an equation Solve for the unknown 4/4 GEOMETRY The rectangle shown is divided by a diagonal. Find the value of x. Ask “what is being done to the x0 + 700 = 900 variable?” X0 + 700 - 700 The variable is being added by 700 Do the inverse on both sides of the equal sign Bring down x0 + 700 Subtract 700 4/4 GEOMETRY The rectangle shown is divided by a diagonal. Find the value of x. Bring down = 900 x0 + 700 = 900 Subtract 700 x0 + 700 - 700 = 900 - 700 Bring down x0 + x0 + 00 = 200 Combine “like” terms Answer: x0 = 200 Bring down = Combine “like” terms Use the Identify Property to add x + 00 Bring down 200 4/4 * GRAPHING In the circle graph shown below, find the value of x. Answer: x = 620 4/4 Assignment Lesson 10:3 Angle Relationship 3 - 21 All