Question

In the following figures, find the value of x, y, z and a with reasons...plz solve this problem... ​

Answer 1

Answer:

X= 30°

Step-by-step explanation:

180-150(angles on a straight line)

30°

Answer 2

For the first figure

Angle x = 180-150=30 ( linear pair)

Now angle x + angle z = 115 (the sum of interior angles opposite to exterior angle is equal)

Therefore angle z = 115 - angle x= 115 - 30 = 85

Now angle Y = 180- angle z ( linear pair )
= 180 - 85= 115



For second figure

Angle x + angle y + angle z = 180 ( sum of all angles of triangle is equal to 180 )
2a + 90 + 4a = 180
6a = 180-90
6a = 90
a = 90/6
a = 15


Therefore
Angle x = 2*15=30
Angle y = 90
Angle z = 4*15= 60


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