Question

In the given figure l ll m ll n and p ll q ll r
find the angles x, y, z and t​

Answer 1

$\huge\bf\tt\underbrace{\red{A}\green{N}\orange{S}\pink{W}\purple{E}\blue{R}}$

$x=80°$

$y= 80°$

$z=80°$

$t=100°$

Answer 2

$\huge\bf\tt\underbrace{\red{A}\green{N}\orange{S}\pink{W}\purple{E}\blue{R}}$

Since l || n and r is transversal:-

$100+x=180°$

$80°$

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Since p || r and n is transversal:-

$x=z \: (alternate \: angles)$

$z=80°$

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Since r || q and n is transversal:-

$x=y \: (corresponding \: angles)$

$y=80°$

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Since n || m and r is transversal:-

$angle 1 + t = 180°(co-interior \: angles)$

$30+t=180°$

$t=180°$

• Hope it's helpful..