please and both pls...... it's very urgent
Answers
Step-by-step explanation:
2nd question is not clear enough
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Answer:
1. ∠x = ∠y = ∠z = 40°
2. xy
Step-by-step explanation:
1. Given,
ABCD is a parallelogram.
AB is parallel to CD,
(i.e) AB ll CD
similarly,
AD ll BC
∠ADC = 100°
∠BAC = 40°
∠BAC = ∠y = 40° ( alternate interior angles )
In Δ ADC,
∠ADC + ∠x + ∠y = 180° ( angle sum property of triangle )
100° + ∠x + 40° = 180°
140° + ∠x = 180°
∠x = 40°
∠DCB = ∠DCA + ∠BAC
= ∠y + ∠z
∠DCB = 40° + ∠z
In parallelogram, sum of adjacent angles is 180°,
So, ∠DAC + ∠DCB = 180°
100° + 40° + ∠z = 180°
140° + ∠z = 180°
∠z = 40°
Therefore, ∠x = ∠y = ∠z = 40°
2. a x b x a^2 m^4 xy
________ x ______
m x m x m^2 a^3 b
= a^3 b x m^4 xy
____________
m^4 x a^3 b
( In numerator and denominator, a^3 b x m^4 get cancelled )
= xy
Therefore,
a x b x a^2 m^4 x y
________ x ______ = xy
m x m x m^2 a^3 b