The value of the angle shown in the protactor is 50° and the value of y is 10°.
How to calculate the values?
The value of y will be:
2y + 30 = 3y + 20
3y - 2y = 30 - 20
y = 10
The value of x when they're complementary will be:
5x - 2 + 3x + 4 = 90
8x + 2 = 90
8x = 90 - 2
8x = 88.
x = 88/8 = 12
The value of angle FDE will be:
3x + 10 + 6x + 8 = 180
9x + 18 = 180
9x = 180 - 18
9x = 162
x = 162/9
x = 18
FDE = 6x + 8
= 6(18) + 8
= 108 + 8
= 116
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