Question

MORE is a parallelogram find the measure of x y and z
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Answer 1

Answer:

$x = 40^{0} \\z = 30^{0} \\y = 110^{0}$

Step-by-step explanation:

∠MEO = ∠EOR = $40^{0}$ (Alternate angles)

Therefore, ∠EOR = $x$ = $40^{0}$

$x = 40^{0}$

∠MER = ∠0RD (If we hold the extension of ER as D) = $70^{0}$

Therefore, ∠MER = $70^{0}$ ( Corresponding angles)

=> $40^{0}$$+ z$ = $70^{0}$

=> $z =$ $70^{0} - 40^{0}$

=> $z$ = $30^{0}$

We know, ∠OER = ∠M0E = $30^{0}$ ( Alternate angles)

We know,

∠MEO + ∠EOM + ∠EMO = $180^{0}$

=> $40^{0} + 30^{0} + y = 180^{0}$

=> $70^{0} + y = 180^{0}$

=> $y = 180^{0} - 70^{0}$

=> $y = 110^{0}$