Question

Find the value of x and y in the given figure

Answer 1

Answer:

X=55,y=50

Step-by-step explanation:

angle c=180-100=80

now angle X=180-(45+80)

X=180-125

X=55

y=180-(100+30)

y=180-130

y=50

Answer 2

Solution:-

In Δ ACD :-

∠CAD + ∠ACD + ADC = 180° (Angle Sum Property of a Triangle)

=> 30° + 100° + y = 180 °

=> 130° + y = 180 °

=> y = 180° - 130° = 50°

∠ACB + ∠ACD = 180° (Linear Pair)

∠ACB + 100° = 180 °

∠ACB = 180°-100°

∠ACB = 80°

In Δ ABC :-

∠ABC + ∠ACB + CAB = 180° (Angle Sum Property of a Triangle)

=> 45° + 80° + x = 180 °

=> 125° + x = 180 °

=> x = 180° - 125° = 55°

Answer:-

x = 55° and y = 50°