Equation : (7x + 9) + (5x + 3) = 180°
The two lines, say, line a and b are parallel and line y is a transversal. The two angles are called supplementary angles.
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To find the value of x, we need to solve the equation.
(7x + 9) + (5x + 3) = 180
7x + 9 + 5x + 3 = 180
(7x + 5x) + (9 + 3) = 180
12x + 12 = 180
12x = 180 - 12
12x = 168
x = 168/12
x = 84/6
x = 42/3
x = 14
Value of x: 14
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First angle = 7x + 9
= 7×14 + 9
= 98 + 9
= 107
Second angle = 5x + 3
= 5×14 + 3
= 70 + 3
= 73
Angle measures: 107° & 73°
