Question

please explain this and tell the answer.​

Answer 1

Answer:

x =85° , y = 95° , z = 50°  

Step-by-step explanation:

Given : ray E is parallel to ray F , ∠1 = 90° , ∠2 = 35°

To find : ∠x , ∠y , ∠z

Solution :-

∠1 = ∠DCA = 95° [Alternate interior angles]

∠DCF = ∠Y [Vertically opposite angles]

⇒ ∠y = 95°

Similarly,

∠x + y = 180° [Supplementary angles]

⇒ ∠x = 85°

Now, in ΔABC :

∠2 + ∠x + ∠z = 180° [Angle sum property of a triangle]

⇒ 35° + 85° + ∠z = 180°

⇒ ∠z = 180° - 120°

⇒ ∠z = 50°

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