Question

in the given figure if a b parallel DC and angle BDC equal to 30 and Angle BAD is equal to 80 find angle X Angle B and angle Z.

Answer 1

Hey friend,
Here is the answer you were looking for:
To find out the value of Z
First Let's find out the value of x and y
Now,
x = 30 (transversal angles)
Now,
Since BAD is a triangle,
So sum of all angles equals 180°
So, 80 + 30 + y = 180
110 + y = 180
y = 180 - 110
y = 70°
Now,
Since we have angle DBC = y - 30°
So, angle DBC = 70° - 30°
angle DBC = 40°
Similarly,
Since, DBC is also a triangle,
So sum of all angle equals 180°
30° + 40° + Z = 180°
70° + z = 180°
z = 180° - 70°
z = 110°
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Answer 2

Answer:

same answer as given above