Question

solve this question ​

Answer 1

Answer:

Z is 30°, X is 25 and Y is 80°

Step-by-step explanation:

In ∆ABD,

100+50+Z = 180

( Angle sum property )

Z = 30°

In ∆BCD,

75+Y+X = 180

( Angle sum property )

Y = 180-100 ( linear angles )

Y = 80°

Y + X + 75 = 180

80+X+75 = 180

X = 180-155

X = 25°

Answer 2

Step-by-step explanation:

In ∆ ADB .

angle A. + angle B + angle D = 180°.

( angle sum property).

50° + Z + 100° = 180°.

Z = 180 - 150 = 30°.

Z = 30°.

In ∆ ABC .

angle BDA + BDC = 180° .

( Linea pair).

100 + y = 180°.

y = 180° - 100 ° = 80°.

y = 80°.

In ∆ BCD .

angle D + angle B + angle C = 180°.

( angle sum property).

y + X + 75° = 180°

80° + X + 75° = 180°

X = 180° - 155° = 25°.

X = 25° .

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