Directions: Given that b ∥ c with d as transversal. Find the value of x in the following.
1. m∠4 = 6x, m∠5 = 120 °
2. m∠2 = 63 °, m∠7 = 9x
3. m∠6 = x, m∠3 = 107 °
4. m∠8 = 7x + 3 , m∠2 = 3x + 17
5. m∠ 3 = 3x – 15, m∠7 = x + 25
answer
1) x=24
2)x=8
3) x=20
solution:
1) m<4-5x,m<5=120 m<4=m<5 since m<4-5x,m<5-120 So 5x=120
x=24
2) m<1-100,m<7=10x m<1+m<7=180 m<100+10x=180
10x=80
x=8
3) m<2-3x-10,m<6=x+30 thus m<2,m<6 since m<2-3x-10,m<6=x+30 3x-10 = x+30
2x=40
x=20
