Answer:
Step-by-step explanation:
4) Angles opposite to equal sides are equal
45 + 45 + x = 180 {Angle sum property}
90 +x = 180 {Subtract 90 from both sides}
x = 180 - 90
x = 90
120 +y + y = 180 {Angle sum property}
120 +2y = 180 {Subtract 120 from both sides
2y =180 - 120
2y = 60 {Divide both sides by 2}
y = 60/2
y = 30
5)All sides are equal. so this is a equilateral triangle.
So each angle of equilateral triangle = 60
4x = 60
x = 60/4
x = 15
y = 60 +60 {Exterior of triangle equal sum of opposite interior angles}
y = 120
6) All sides are equal. so this is a equilateral triangle.
So each angle of equilateral triangle = 60
y - 10 = 60 {add 10 to both side}
y = 60 + 10
y = 70
x + 5 = 60 {Subtract 5 from both sides}
x = 60 - 5
x = 55
