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1. Given the following diagram of ∆CDB. Find the measure of the exterior angle ∡ABC m ∡ABC= A xo o B 52o C D 2. Given the following diagram of ∆CDB. Find the m ∡DCB. m∡DCB = C xo o 60o D B 112o A 3. Given the following diagram of ∆CDB. Find the m∡BCD. m∡BCD = A 139o o B xo C D 4. Given the following diagram of ∆CDB. Find the value of x. Then find the measure of the exterior angle ∡ACD x = (2x + 16)o A m∡ACD = C 58o D o B (x + 12)o 5. One acute angle in a right triangle measures 42 degrees. What is the measure of the other acute angle? degrees 6. One acute angle in a right triangle measures 72.5 degrees. What is the measure of the other acute angle? degrees 7. What theorem would tell us that ∡A≅∡D? Exterior angles theorem Third angles theorem Triangle sum theorem Corresponding angles postulate 8. The angles of a triangle are in the ratio of 2:8:10. What is the value of x and what is the measure of the SMALLEST angle? x = smallest angle = degrees 10. Find the value of x and then find m∡F. F x = m∡F = x+8 degrees 3x T I Which correct equation can be written using the information in the diagram below. ∡5 + ∡4 = ∡2 ∡5 + ∡8 = ∡2 ∡8 + ∡4 = ∡2 ∡5 + ∡8 = ∡4 + ∡2 A 8 B 5 4 C 2 D Find the measure of each interior angle. ∡A = ∡B = ∡C = º º º A 7x 4x C 7x B |