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Decide if the statement is true or false. Justify your answer.

Do Now. Decide if the statement is true or false. Justify your answer. . All rectangles are squares. 2. All squares are rectangles. 3. All parallelograms are rhombuses. . How many degrees are there in a circle?. a. a. a. a. a. b. b. b. b. d. b. d. d. d. d. c. c. c. c.

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Decide if the statement is true or false. Justify your answer.

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  1. Do Now Decide if the statement is true or false. Justify your answer. • All rectangles are squares. 2. All squares are rectangles. 3. All parallelograms are rhombuses.

  2. How many degrees are there in a circle? a a a a a b b b b d b d d d d c c c c c

  3. Objectives:SWBAT find missing angle measures of a quadrilateral

  4. Concept

  5. Find Angle Measures ALGEBRA Find the value of xin the quadrilateral. Then find each missing angle measure. The sum of the measures of the angles is 360°. Let mQ, mR, mS, and mT represent the measures of the angles. mQ + mR + mS + mT= 360

  6. mQ + mR + mS + mT= 360 Angles of a quadrilateral 75 + 4x + 110 + x = 360 Substitution 5x + 185 = 360 Combine like terms. – 185 = – 185 Subtract 185 from each side. 5x = 175 Simplify. 5 5 x = 35 Divide each side by 5. Answer: So, mT = 35° and mR = 4(35) or 140°.

  7. 1 Find the value of x. (X – 51)°

  8. Find the value of x. Then find each missing angle measure. • A • B • C • D A.x = 4; mA = 4° and mC = 16° B.x = 5; mA = 5° and mC = 20° C.x = 40; mA = 40° and mC = 160° D.x = 104; mA = 104° and mC = 416°

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