Question

Find the value of x and y, if ACB=4y​

Answer 1

Answer:

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Answer 2

Answer:

x=30° and y=15°

Step-by-step explanation:

Here, ∠ADB+∠ADC=180°

⇨∠ADB+105°=180°

⇨ ∠ADB=180°-105°

=75°

In ∆ABD, by angle sum property,

∠DAB+∠ABD+∠ADB=180°

⇨ x+75°+75°=180°

⇨ x=180°-150°

∴x=30°

And, in ∆ABC, by angle sum property,

∠ACB+∠CAB+∠CBA=180°

⇨ 4y+(x+y)+75°=180°

⇨ 4y+30°+y=105°

⇨ 5y=75°

⇨ y=15

Hence, the required value of x is 30° and that of y is 15°.

Dude_i hope this help u