Question

find the values of the unknown x y z in the given parallelogram​

Answer 1

Answer:

Step-by-step explanation:

80°=z                                               (corresponding angles)

z=y=80°                                           (opposite angles)

∠A+∠B=180°                                    (consecutive angles)

(x+35)+80=180

x+35=180-80

x+35=100

x=65

so,

x=65°, y=80°and z=80°

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Answer 2

${\bold{\purple{\mathcal{\huge{Hëy Frïèñd...}}}}}$

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Here is the Solution...

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${\bold{\boxed{Step\:By\:Step\:Explanation}}}$

Now angle BCD + angle BCE = 180° (linear pair)

BCD + 80° = 180°

BCD = 180 - 80

BCD = 100°

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angle BCD = 100°

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Now,

y + BCD = 180° (co. interior Angles)

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z + BCD = 180° (co. interior Angles)

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So by solving above two

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${\bold{\text{y=80\:z=80}}}$

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Now, in ||gm sum of Angles = 360°

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angle A + angle B + angle C + angle D = 360°

35° + x + y + 100 + z = 360°

35° + x + 80° + 100° + 80° = 360°

x + 295° = 360°

x = 360° - 295°

x = 65°

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So

${\bold{\boxed{Answer}}}$

${\mathcal{\bold{x = 65, y = 80\: and\: z = 80}}}$

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