The Angle Addition Postulate For any angle PQR, if A is in the interior of PQR, then m PQA + m AQR = m PQR. Postulate 3-3 Angle Addition Postulate 2 1 A R P Q The sum of the measures of the two smaller angles is equal to the measure of the larger angle. Their sum is equal to the measure of RST. The Angle Addition Postulate R T S Xģ0 ° 45 ° 75 ° = m RST = 75 m XST = 30 + m RSX = 45 1) How does the sum of m RSX and m XST compare to m RST ? 2) Make a conjecture about the relationship between the two smaller angles and the larger angle. Xģ0 ° 45 ° 75 ° 1) How does the sum of m RSX and m XST compare to m RST ? The Angle Addition Postulate R T S Xģ0 ° 45 ° 75 ° = m RST = 75 m XST = 30 + m RSX = 45 1) How does the sum of m RSX and m XST compare to m RST ? Their sum is equal to the measure of RST. 30 ° 45 ° 75 ° The Angle Addition Postulate R T S 2) Draw and label a point X in the interior of the angle. 3) For each angle, find m RSX, m XST, and RST. Xġ) Draw an acute, an obtuse, or a right angle. 30 ° 45 ° The Angle Addition Postulate R T S 2) Draw and label a point X in the interior of the angle. The Angle Addition Postulate R T S 2) Draw and label a point X in the interior of the angle. The Angle Addition Postulate R T Sġ) Draw an acute, an obtuse, or a right angle. What You'll Learn NOTHING NEW! Vocabularyġ) Draw an acute, an obtuse, or a right angle. The Angle Addition Postulate You will learn to find the measure of an angle and the bisector of an angle.
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