Answer:
x = 42 and y = 92
Step-by-step explanation:
Since there are parallel lines, then
x = 42 ( Alternate angles )
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
134° is an external angle to the triangle, thus
x + y = 134 , that is
42 + y = 134 ( subtract 42 from both sides )
y = 92
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(b)
The sum of the interior angles of a polygon are
sum = 180° (n - 2) ← n is the number of sides
Here n = 7, thus
sum = 180° × 5 = 900°
