Sewanhaka High School Math 8 Class:______________ Name:___________________________________ Mrs. Lidowsky, Principal Mr. Long, Teacher Date:________________________ H.W. #60: Ditto DO-NOW #60: Answer the following questions: 1) Refer to the picture at the right. If a || b, mL 2 = (2x + 59)° and mL 8 = (9x – 11)°, find x and find the measure of each angle. 1 2 4 3 a 5 6 8 7 2) Solve for x: 3x – 40 2x + 10 3) Greg can walk 4 miles in 20 minutes. How long will it take (in minutes) him to walk 6 miles? Topic: Geometry Main Idea: Corresponding angles Aim: RECALL NOTES Let m<B = 130°, find the measure of all the other angles in the given picture. t r || s a) m<A = b) m<B = c) m<7 = d) m<C = A B r e) m<E = f) m<8 = g) m<H = h) m<G = 7 C E 8 H G s Now focus on angles A and E, 7 and H, B and 8, and C and G. What do we call angles A and E? What do we call angles 7 and H? What do we call angles B and 8? What do we call angles C and G? What do we notice about angles A and E? What do we notice about angles 7 and H? What do we notice about angles B and 8? What do we notice about angles C and G? Refer to the above picture of r || s. Find the value of x if m<A = (3x – 30)° and m<E = 30°. b (3x + 40)° Refer to the picture at the left. In the accompanying diagram, AB || CD . EF intersects parallel lines AB and CD at G and H. If m<EGB is (3x + 40)° and m<EHD = (6x – 17)°, what is the value of x? (6x – 17)° Drill: Answer the following questions: Show work: 1) Refer to the picture at the left. In the accompanying diagram, AB || CD . EF intersects parallel lines AB and CD at G and H. If m<AGF is (3x - 10)° (3x – 10)° G and m<CHF = 80°, what is the value of x? 80° 2) Refer to the picture at the left. In the accompanying diagram, AB || CD . EH intersects parallel lines AB and CD at G and F. If m<EFB is (2x + 10)° and m<EGD = (x + 20)°, what is the value of x? 3) Refer to the picture at the left. In the accompanying diagram, AB || CD . MN intersects parallel lines AB and CD at G and H. If m<BGN is (2x + 50)° and m<NHD = (5x - 70)°, what is the value of x? Summary: