Step-by-step explanation:
In triangle PBC,
P + C + B = 180°
50° + 45° + e° = 180°
e° = 180° - 95°
e = 85°
In triangle APB,
A + B + P = 180°
20° + 130° + f = 180°
f = 180° - 150°
f = 30°
A + B = 180°
20 + d + 115° = 180°
d + 135° = 180°
d = 45°
In triangle APD,
d + a + p = 180°
50° + 45° + a = 180°
a = 180° - 95°
a = 85°
D = B
a + b = e + f
85° + b = 115°
b = 30°
In triangle DPC,
b + P + c = 180°
130° + 30° + c = 180°
c = 180° - 160°
c = 20°
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Answers & Comments
Step-by-step explanation:
In triangle PBC,
P + C + B = 180°
50° + 45° + e° = 180°
e° = 180° - 95°
e = 85°
In triangle APB,
A + B + P = 180°
20° + 130° + f = 180°
f = 180° - 150°
f = 30°
A + B = 180°
20 + d + 115° = 180°
d + 135° = 180°
d = 45°
In triangle APD,
d + a + p = 180°
50° + 45° + a = 180°
a = 180° - 95°
a = 85°
D = B
a + b = e + f
85° + b = 115°
b = 30°
In triangle DPC,
b + P + c = 180°
130° + 30° + c = 180°
c = 180° - 160°
c = 20°