Answer:
(a) x =
(b) x =
Step-by-step explanation:
A. sum of angles in a polygon = (n - 2) 180
The polygon given is an irregular pentagon, where n = 5
So that;
sum of angles in a pentagon = (5 - 2) 180
= 3 x 180
=
Thus,
x + 90 + 76 + 110 + 136 =
x + 412 =
x = - 412
x =
B. The polygon given is an irregular pentagon, where n = 5.
Let the supplementary angle with angle 38 be represented by y,
y + 38 = 180
y = 180 - 38
=
y =
Let the supplementary angle with x be represented by z, so that;
z + 72 + 120 + 100 + 142 =
z + 434 =
z = - 434
=
z =
But, x + z =
Then;
x + =
x = -
=
x =