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A#3-2 NAME___________________________________DATE__________________PER.________ SPECIAL ANGLE PAIRS Identify the type of angle pair and solve for ‘x’ in each of the following problems. 2. m∠H + m∠J = 90°. 1. m∠F + m∠G = 180°. F (4x)° H G (8x)° J (x + 24)° (x)° Type of pair:__________________ Type of pair:__________________ x = _______________ x = _______________ 3. 4. (4x)° ( 5. (5x – 27)° 2 x)° (90)° 3 Type of pair:__________________ Type of pair:__________________ x = _______________ x = _______________ (3x + 15)°° 6. (2x)°° (12x + 25)°° (3x – 10)°° Type of pair:__________________ Type of pair:__________________ x = _______________ x = _______________ A#3-2 PG. 2 7. Find the measures of two complementary angles, ∠A and ∠B, if m∠A = (7x + 4)° and m∠B = (4x + 9)°. m∠A = _______________; m∠B = _______________ 8. Find the measure of two supplementary angles, ∠A and ∠B, if m∠A = (3x – 7)° and m∠B = (2x + 2)°. m∠A = _______________; m∠B = _______________ REVIEW 9. m∠ABD = (3x + 1)°, m∠DBC = (4x – 7)° and m∠ABC = 85°. Find m∠ABD. m∠ABD = _______________ 10. Classify the angle:____________________ ° 11. Name the sides of this angle:_______________ A#3-2 PG. 3 12. YW is a bisector of ∠XYZ. m∠XYW = (8x – 5)° and m∠WYZ = (6x + 17)°. Find the m∠XYZ. m∠XYZ = _______________ 13. Find AB if A(0, 3) and B(2, 7). AB = _______________ 14. Find the midpoint of AB described in #13. Midpoint(__________, __________) TAKS PRACTICE Find the correct answer for each of the following. Clearly circle your answer. Work must be shown in order to receive credit. 15. Which is the positive root of 4x 2 − 4x − 8 = 0 ? A. 1 B. 2 C. 4 D. 8 16. Lauren wants to invest an amount of money in an account that earns 3.5% interest per year. Which of these is a description for the amount of interest earned in one year? A. The amount of interest she will earn depends on the size of the bank. B. The amount of interest she will earn depends on the amount invested. C. The amount invested depends on the interest rate. D. The amount invested depends on the amount of interest she will earn.