Question

from adjoining figure, find X+Y+Z

Answer 1

we have,
angle BAD +angle BAC = 180 degrees
=> x + 70 = 180
=> x = 110
similarly,
60 + y = 180
=> y = 120
now, using angle sum property in triangles, we get,

70 + 60 + angle ABC = 180
=> Angle ABC = 50

thus, z + angle ABC = 180
=> z + 50 = 180
=> z = 130

HENCE, X + Y + Z = 110 + 120 + 130
= 360

HOPE THIS HELPS U

HAVE A GREAT DAY

Answer 2

Solution:

In the given figure, DAC is a straight line,so

x+70° = 180°
=> x = 110°

Similarly, BCF is a straight line

y +60°=180°
=> y= 120°

Now, in the ∆ABC ,

<A+<B+<C = 180[Sum of all the angles of a ∆]

=> 70° + <B + 60°= 180°
=> <B + 130° = 180°
=> <B = 50°

Now, ABE is a straight line,
<B + z = 180°
=> 50° + z = 180°
=> z = 130°

Now,

APQ : x+y+z = 110°+120°+130° = 360°


Hope this helps you dear friend ‼️