9514 1404 393
Answer:
a) 40°
b) 70°
c) 35°
d) 105°
Step-by-step explanation:
a) x is half the given angle, so is ∠BAC/2 = 80°/2.
x = 40°
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b) ∠ABC has a value that makes the angles in the triangle have a sum of 180°.
∠ABC +∠BAC +30° = 180°
∠ABC = 180° -30° -80°
∠ABC = 70°
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c) y is half the measure of ∠ABC, so is 70°/2.
y = 35°
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d) z has a value that makes the angles in its triangle have a sum of 180°.
x + y + z = 180
z = 180 -x -y = 180 -40 -35
z = 105°
