The value of z in this figure is 137°
Data;
Opposite Angles in a Parallel Line
To find the value of z; we know that y = 43°
y = 43°
reason: Opposite angles are equal
But knowing this, we can find the value of z.
But know that z = x = a
However,
\(43 + y + x + z = 360^0\)
Reason: Angles at a point equal 360°
But since x = z = a, and y = 43
\(43 + 43 + a + a = 360^0\\86 + 2a = 360^0\\2a = 360 - 86\\2a = 274\\a = \frac{274}{2} \\a = 137\)
The value of both z and x is equal to 137°
The value of z in this figure is 137°
Learn more on angles at a point here;
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