Answer:
1) x = 10
m<LOH = 55
m<GOH = 85
m< KOG = 40
2) x = 3
m<CQR = 22
m<BQC = 53
m< AQB = 33
m< PQA = 72
3) x = 45
m<TYZ = 41
m<XYT = 49
m< SYX = 90
m< XYZ = 90
4) x = 7
m < KJL = 30
m< NJK = 50
m< MJL = 56
Explanation:
1)
Straight line = 180°
So
4x + 15 + 9x - 15 + 4x = 180
17x + 10 = 180
x = (180-10)/17
x = 10
m<LOH = 40
m<GOH = 85
m< KOG = 55
2)
Straight line = 180°
So
7x + 1 + 56 - x + x + 30 + 24x = 180
31x + 87 = 180
x = (180 - 87) / 31
x = 3
m<CQR = 72
m<BQC = 33
m< AQB = 53
m< PQA = 22
3)
Straight line = 180°
So
2x + x + 4 + x - 4 = 180
4x = 180
x = 45
m<TYZ = 41
m<XYT = 49
m< SYX = 90
m< XYZ = 90
4)
Straight line = 180°
So
2(3x + 4) + 11x - 3 + 8x = 180
6x + 8 + 19x -3 = 180
25x + 5 = 180
x = (180 -5) / 25
x = 7
m < KJL = 30
m< NJK = 50
m< MJL = 56
I hope my answer helps you.