Question

Find the value of x and y

Answer 1

130 + 2x = 180 Sum of angles in a straight line

2x = 180 - 130

2x = 50

x = 50/2

x = 25°

In a triangle:

Exterior angle = Sum of opposite interior angle

130 = 4y + 54

4y + 54 = 130

4y = 130 - 54

4y = 76

y = 76/4

y = 19°

Hope this helps.

Answer 2

130 + 2x = 180
2x = 180 - 130
2x = 50
x = 50/2
x = 25

2x + 4y + 54 = 180
2(25) + 4y + 54 = 180
50 + 4y + 54 = 180
4y + 104 = 180
4y = 180 - 104
4y = 76
y = 76/4
y = 19

answer: x = 25 and y = 19