The value of 4x and 5x is 80° and 100° respectively .
What is the same-side interior angle theorem?
The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary, or add up to 180 degrees.
According to the question
4x , 5x are angles given
As,
They are angles between parallel line and same side of transversal line
according to same-side interior angle theorem that are formed are supplementary .
i.e there sum = 180°
4x + 5x= 180°
9x = 180°
x = 180°/9
x = 20°
So,
4x = 20 * 4 = 80°
5x = 20 * 5 = 100°
Hence, The value of 4x and 5x is 80° and 100° respectively .
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