Question

in the given figure DE || BC find the measure of angle X Y and Z​

Answer 1

❄️ Question :-

In the given figure, DE||BC. Find the measure of <X, <Y and <Z.

❄️ Solution :-

Since, DE||BC, <Z = <ECB [Corresponding angles]

==> <Z = 40°

In ∆ADE,

<DAE + <AED + <ADE = 180° [Angle sum property]

==> 30° + <Z + <Y = 180°

==> 30° + 40° + <Y = 180°

==> 70° + <Y = 180°

==> <Y = 180° - 70°

==> <Y = 110°

<X = <Y [Corresponding angles] [DE||BC]

==> <X = 110°

❄️ Therefore,

<X = 110°

<Y = 110°

<Z = 40°

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Answer 2

Answer:

x = 110

y = 110

z = 40

Step-by-step explanation:

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