Question

In the figure given below, IY = IZ and GY = GX. find angle XYZ ?
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Answer 1

Answer:

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Find x,y,z in the given figure.

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Solution

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REF. Image.

Given :- ∠FAE=70

∘

∠ACD=110

∘

vertically opposites angles are equal.

∴∠x=∠FAE

⇒∠x=70

∘

BCD has a straight line.

∴∠ACB+∠ACD=180

∘

∠z+110

∘

=180

∘

∠z=180

∘

−110

∘

∴∠z=70

∘

In Δ ABC,

∠x+∠y+∠z=180

∘

⇒70

∘

+∠y+70

∘

=180

∘

⇒∠y+140

∘

=180

∘

⇒∠y=180

∘

−140

∘

⇒∠y=40

∘

Answer 2

45 degree

Step-by-step explanation:

xyz is 45 degree