Answer:
x = 15°
∠ 1 = 45°
Step-by-step explanation:
Here Given: m is parallel to n.
Now here:
135° + (2 x+ 15)° = 180° ( LINEAR PAIR)
Solving this for the value pf x, we get:
150 + 2 x = 180
or, 2 x = 180 - 150 =30
or, x = 30/2 = 15
⇒ x = 15°
Now, as m is PARALLEL to n.
⇒ ∠ 1 = (2 x+ 15)° ( PAIR OF ALTERNATE ANGLES)
Putting the value of x= 15 in (2 x+ 15)° , we get:
∠ 1 = 2(15) + 15 = 45°
or, ∠ 1 = 45°
