Step-by-step explanation:solution of I)
Answer:
x=30°
y=80°
z=70°
NOW MOVING TO THE MAIN POINT
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Step-by-step explanation:solution of I)
Answer:
x=30°
y=80°
z=70°
(1)
As we know, ∆ ABC = 280°
and PAQ = 180°
NOW MOVING TO THE MAIN POINT
☞ PAQ = PAB + BAC + CAQ
180° = 30° + Z + 80° ( HERE, BAC = Z )
180° = 110° + Z
180° - 110° = Z
Z = 70°
☞ IF BC || PQ
HENCE, SO, Angle PAB = ABC
so, 30° = X
X = 30°
☞ so now ∆ ABC = 180°
A + B + C = 180°
Z + X + Y = 180°
70° + 30° + Y = 180°
100° + Y = 180°
Y = 180° - 100°
Y = 80°
(2)
PAQ = 180°
As we know , PQ || BC
so, PAB = ABC
X = 60°
☞ C = 90° { GIVEN IN DIAGRAM }
∆ABC = 180°
A + B + C = 180°
Y + 60° + 90° = 180°
Y + 150° = 180°
Y = 180° - 150°
Y= 30°
☞ PAQ = 180°
PAB + BAC + CAQ = 180°
X + Y + Z = 180°
60° + 30° + Z = 180°
90° + Z = 180°
Z = 180° - 90°
Z = 90°
I hope it helps you